West Ham and Liverpool could face a play-off to determine who qualifies for the Europa League.
The Hammers lie sixth in the Premier League before the final round of matches, while Liverpool are eighth.
The Reds also play Sevilla in the Europa League final knowing that a win would secure a Champions League place.
If they have to qualify for Europe through the league, there is a scenario that has both clubs level on points, goal difference and goals scored.
How it could happen
West Ham would have to lose 1-0 at Stoke City AND Liverpool beat West Brom 2-1; or the Hammers lose 2-1 while it finished 3-2 to the away side at The Hawthorns, or so on. In addition, seventh-placed Southampton would have to be denied a win against visitors Crystal Palace.
Those scorelines would leave the London and Merseyside clubs level after 38 matches of a season lasting nine months.
If they were tied, the play-off would only be needed if their finishing spot is in a Europa League position, and Sevilla were to win next week’s final in Basle.
A Premier League spokesperson confirmed an extra game could take place, although the likelihood is small.
League rules state: “If at the end of the season either the league champions or the clubs to be relegated or the question of qualification for other competitions cannot be determined because two or more clubs are equal on points, goal difference and goals scored, the clubs concerned shall play off one or more deciding league matches on neutral grounds, the format, venue and timing of which shall be determined by the board.”
Any date or ground has not been decided upon.
Europa League qualification
Manchester City are already assured of at least a Europa League place after winning the Capital One Cup.
If they finish in the top four, that place in the Europa League third qualifying round will pass to the sixth-placed team.
The same will happen if they secure a place in the Europa League group stage by finishing fifth – and realistically, goal difference means City are unlikely to finish lower than fifth.
If Liverpool win the Europa League, they will qualify for the Champions League group stage. If Crystal Palace win the FA Cup, they will enter the Europa League at the group stage. If Manchester United win, that place will be given to the seventh-placed team.
There are no longer any Fair Play places allocated to the Europa League.
Hodgson has delayed the announcement of his squad to take to France until after the final Premier League fixtures this weekend, with the Football Association citing “fitness reasons”.
He has already lost Arsenal’s Alex Oxlaide-Chamberlain and Danny Wellbeck to injury, with Manchester United defender Luke Shaw another to miss out.
Former West Ham and Tottenham striker Defoe said he joined Sunderland last January from Major League Soccer side Toronto, with an England place at the back of his mind.
Defoe, capped 55 times by England, said: “As a forward you get judged on scoring goals. The England managers at the time thought I could always come on and score. When I came back I thought ‘all I’ve got to do is go there, focus, get my goals and hopefully get in the frame and take it from there’.”
Tottenham’s Harry Kane (25) and Leicester’s Jamie Vardy (24) are the only Englishmen with more top-flight goals this season and Sunderland manager Sam Allardyce said his striker could “still do it at the highest level”.
Defoe’s last cap was in November 2013 and he has previously said he would “never be at peace” with missing out on the 2014 World Cup squad for Brazil.
“I think he has done an amazing job so far. Hopefully we can do it next year as well and then it is about him and the club and what he wants to do,” said the former Celtic player.
Martinez, 42, promised to deliver Champions League football for Everton when he replaced David Moyes in the summer of 2013 – and he finished fifth in his first campaign in charge with 72 points.
But this season his side have won just five league games at home and are guaranteed to finish with their lowest points tally at Goodison Park since 1981.
Benitez, who took charge at St James’ Park with the Magpies second from bottom in March, has a break clause in his contract meaning he could walk away from the club if he wished following their demotion to the Championship.
Benitez started the season with Spanish giants Real Madrid but faces the prospect of the second tier of English football if he remains at Newcastle next season.
The 56-year-old led Everton’s city rivals Liverpool to a Champions League win in 2005 and guided Chelsea to a Europa League success in 2013.
Benitez’s family have remained in the north west of England following his six-year spell at Anfield.
“Rafa Benitez goes to Everton, Roberto Martinez goes to Newcastle. That’s not beyond the realms of possibility,” former Leeds United and Manchester City defender Mills told BBC Radio 5 live.
“He’s got experience, I can’t see him staying at Newcastle,” said Mills, who added that the Spaniard’s Liverpool history “doesn’t matter”.
But former Tottenham and Newcastle midfielder Jermaine Jenas disagreed, arguing that Everton fans want to see attacking football.
“With Benitez, I can feel them going too defensive and they wouldn’t be happy with that,” he added.
The Newcastle Fans’ Forum issued a direct plea to Benitez on Thursday, asking him to stay on Tyneside.
In a statement, it said: “Whilst we fully accept the short-term prospect of life in the Championship may not be as appealing as other offers, we can certainly promise you the potential rewards of the longer term would exceed any position that you consider.”
The forum members urged the club to use “every possible resource” to try to retain Benitez, citing his “ability to connect with the fans”.
He led Ajax to four straight league titles between 2011 and 2014, but missed out to PSV on the final day this season. His agent Guido Albers said De Boer would be “interested”, while his brother, Ronald, said he “was the right man for the job”.
Michael Ball played alongside defender De Boer at Rangers in 2004, but the 112-cap Netherlands international spent the majority of his playing career with Ajax and Barcelona.
Ball, who made more than 100 appearances for Everton, believes the Dutchman would be “refreshing” for the Toffees.
“He’s defensive-minded, he was a defensive player and a defensive coach,” said Ball.
“He likes to bring a lot of youth into his teams and with the Everton squad being so young it could only be a positive for him.
“I know he’s unproven in England – that’s the only negative. I think De Boer would be refreshing for the Premier League and refreshing for Everton.”
The other contenders
Manuel Pellegrini will leave Manchester City at the end of the season, Mark Hughes has impressed at Stoke City and Brendan Rodgers remains out of a job since being sacked by Liverpool in October.
Rodgers’ last game in charge of the Reds was a 1-1 draw at Goodison Park – and Jenas says the Northern Irishman’s Anfield connection would not go down well with Everton fans.
He added: “I was thinking maybe Brendan Rodgers but you’ve got the Liverpool issue there as well. Maybe Tim Sherwood?”
Former Wales forward Hughes had a spell at Everton in 2000 and has spent the majority of his managerial career in the Premier League with Manchester City and Blackburn Rovers before his move to the Potters.
Asked about Hughes’ future, Stoke goalkeeper Jack Butland told BBC Radio 5 live: “We’re confident he will stay, we’ve got a good thing going on despite the tough end to the season – and the manager’s played a massive part in it.”
Ball added: “Everyone knows what you’re going to get with Hughes. Pellegrini is a great manager but similar to Roberto with his style of play.”
Everton have sacked manager Roberto Martinez after three years in charge.
Martinez’s side, 12th in the Premier League, were beaten 3-1 by champions Leicester on Saturday and lost 3-0 at Sunderland on Wednesday.
The Toffees lost in the semi-finals of the FA Cup and League Cup this season.
The club praised the Spaniard, 42, for his “utmost integrity and dignity”, describing him as a “great ambassador” who played a “key role” in developing young players.
A statement on Thursday confirming the decision said Everton “would like to place on record their thanks for the dedication and commitment Roberto has shown during his three seasons”.
They have won just five league games at home all season and are guaranteed to finish with their lowest points tally at Goodison Park since the introduction of three points for a win in 1981.
Everton’s annual awards event scheduled for Thursday evening – where protests against Martinez had been expected before his dismissal was announced – has been postponed.
The club said it wanted to “reciprocate” Martinez’s “commitment and dignity” by rescheduling the event, adding a “planned celebration would be inappropriate in the circumstances”.
Former Everton player and current under-21 coach David Unsworth and ex-boss Joe Royle, who also played for the Toffees for eight years, will take temporary charge for the final game of the season against Norwich City on Sunday.
Former Ajax coach Frank De Boer, who left the Dutch club on Thursday, has been linked with Everton. His agent Guido Albers told BBC Sport: “If a club like Everton comes to him of course he will be interested to talk.”
He described Everton as “an amazing club”, adding: “They will have their own shortlist. If Frank is on the shortlist, I don’t know.”
There have been an increasing number of protests against Martinez from supporters at recent home matches.
A banner saying “Time to go Roberto” was flown over Goodison during the 2-1 win over Bournemouth on 30 April, while some Everton fans remained inside the ground for more than an hour after the match to protest against Martinez and chairman Bill Kenwright.
He promised to deliver Champions League football when he was appointed to replace David Moyes in the summer of 2013 and he finished fifth in his first season in charge with 72 points – the most achieved by Everton since they last won the league title in 1986-87.
Last season they slipped to 11th.
Martinez has been heavily criticised for flawed game-management and failure to cure Everton’s defensive problems.
He leaves Everton with a 38% Premier League win percentage, but over the past two seasons Everton have won a combined 22 league games – just one more than in 2013-14.
They have conceded 18 points from winning positions this season – only Tottenham with 20 and Liverpool (19) have a worse record.
Two-goal advantages were lost at Bournemouth and Chelsea – and even when they regained the lead in injury time in both games they still were pegged back to 3-3.
In March, a 2-0 lead at home to West Ham with 12 minutes left ended in a 3-2 defeat.
Last season the Toffees had the joint worst record with Sunderland for teams losing points from winning positions with 19.
In January, Martinez bought forward Oumar Niasse from Lokomotiv Moscow for £13.5m – Everton’s third most expensive signing – but the Senegal striker has started only two matches, failing to score in seven appearances in total.
Everton came under new ownership in February when Iranian businessman Farhad Moshiri bought a 49.9% stake.
Martinez began his managerial career at Swansea in 2007 and oversaw promotion from League One in his first full season in charge before joining Wigan in 2009.
He led the Latics to their first FA Cup victory in 2013, beating Manchester City 1-0 in the final, but they were relegated from the Premier League three days later and he took over at Everton shortly after.
BBC Sport’s football expert Mark Lawrenson has been pitting his wits against a different guest each week this season.
Lawro’s opponent for the final round of Premier League fixtures is actor Ben Hardy, star of the new X-Men film.
Hardy, 25, used to play Peter Beale in BBC soap EastEnders but supports a north London team – Arsenal – and it is fair to say he has not enjoyed watching the Gunners fall away in the title race again this season.
“I am sick of it, it feels like Groundhog Day,” he told BBC Sport.
“I have got a lot of respect for Arsene Wenger but, reluctantly, I am in the ‘Wenger Out’ campaign.
“I think it is a case of ‘thanks for the memories, but let’s move on’.”
Ben needs to score more than 160 points to knock stand-up comedian Nathan Caton off the top of the guest leaderboard.
Lawro’s final league table – based on his predictions – can be seen at the bottom of the page.
A correct result (picking a win, draw or defeat) is worth 10 points. The exact score earns 40 points.
Last weekend, Lawro got three correct results, including two perfect scores from 10 Premier League matches, to give him a total of 90 points.
He lost out to two-time world darts champion Adrian ‘Jackpot’ Lewis, who got four results correct, with two perfect scores.
Lawro also picked up 60 points from his predictions for the four midweek Premier League games (see 19:30 BST entry of Tuesday’s live text commentary).His opponent for those matches, world champion boxer Anthony Joshua, did not make any predictions for these games, which were postponed from FA Cup semi-final weekend, but has been awarded 20 points based on his existing points-per-match average, which was 30 points from six matches (five points per match).
Make your own predictions now, compare them to Lawro and other fans and try to take your team to the top of the leaderboard by playing the BBC Sport Predictor game.
All kick-offs 15:00 BST
Arsenal v Aston Villa
The biggest decision I’ve got here is whether Arsenal will win 3-0 or 4-0.
There is very little new to say about Aston Villa, who were relegated on 16 April and have been bottom of the table since the end of October.
But the fact that another big club, Newcastle, are also going down does not help their prospects of making an immediate return to the top flight.
There are only two automatic spots and Norwich, who have also been relegated, are something of a yo-yo club – so they also know how to get promoted.
With Villa the way they are at the moment, I don’t think they will be anywhere near the promotion shake-up anyway.
As for Arsenal, I still think it is down to Arsene Wenger to decide whether his time is up as manager.
The shareholders will not want him to go because he gives them Champions League football – and revenue – every year.
Obviously some of the fans do want a new man in charge but I am not sure who that would be.
Jurgen Klopp, Pep Guardiola and Carlo Ancelotti would all have been obvious candidates, but are all now unavailable at Liverpool, Manchester City and Bayern Munich respectively. Ex-Chelsea boss Jose Mourinho might still be looking for a club, but I don’t think he is right for Arsenal.
Lawro’s prediction: 3-0
Ben’s prediction: I want to say 6-0 because Villa have been so poor but it is going to be more a case of us scoring and clinging on to it, rather than pushing forward to get a bag of goals. 1-0
The majority of supporters wanted a change, and were saying things like ‘he is a nice guy but it is not working’.
Every year under him, Everton’s position in the league got worse – that’s not the sign of a top manager making players better.
So the Toffees’ new owner Farhad Moshiri was never going be thinking that he wanted Martinez to stay and change everything around.
Martinez is one of the game’s nice guys – maybe that might be his problem in terms of man-management. It is not all about putting your arm around players and saying they are great, sometimes they need a firework lit under them.
Norwich boss Alex Neil has admitted he has made some mistakes, but the biggest reason they were relegated is that they do not have a goalscorer.
Can they bounce straight back? Robbie Brady and Timm Klose will be in demand but, apart from one or two, I think they will keep their squad together which will help.
Manchester United still have an outside chance of a top-four finish, if they win and Manchester City lose at Swansea.
They should have no problems with the first bit of that but I do not see City being beaten in Wales with what is at stake for them.
If United finish fifth, then I think that is it for manager Louis van Gaal – he would go no matter what happened in next week’s FA Cup final.
The United machine is not set up to win domestic cups, it is set up to be in the Champions League every season – that is what that club is about.
Many of their sponsorship deals will be linked to the exposure you get from being in Europe’s elite club competition, and they have spent an enormous money on players for them not to be in it next season – if that is what happens.
Let’s not forget Bournemouth’s achievements this season, though.
They are not on a great run with just one win in their past seven games, but the important thing for them is that they are staying up, and they did that comfortably.
The Cherries will not just be rolled over at Old Trafford, but I don’t see them stopping United from ending the season with a win.
Newcastle should do everything they can to try to persuade Rafael Benitez to stay on as manager, to organise the club and get them back in the top flight, because he is very good at that.
Benitez has been touched by the support he has been given by the Magpies fans and I think he will get that again at St James’ Park on Sunday to encourage him to stay despite their relegation.
The Newcastle fans are not going to turn on the players either, because they are unbeaten in their past five games, have looked like a team, put in the effort and got some very good results.
I can understand why Tottenham were not themselves in their defeat by Southampton last weekend, because it is hard to play with the same intensity when the title has gone.
It makes a difference – just 5% at this level is massive – but I don’t think they will be lacking in motivation on Sunday.
A point makes sure they finish second, and above their north London rivals Arsenal for the first time since 1995, which will mean a lot to the Spurs players as well as the fans.
Lawro’s prediction: 1-2
Ben’s prediction: I was terrified when it looked like Spurs might win the league because you would never hear the end of it but second or third for them and Arsenal? Who cares? It does not make much difference in my book and I don’t think us finishing second would be anything to celebrate. 2-1