Nine Premier League clubs are in with a chance of playing in Europe 

Two Champions League spots are still up for grabs in final fixtures 

None of the three Europa League spots have been decided yet

FA Cup final could have change who qualifies via the league 

Champions League final news: Click here for all the latest 

With only a week of the Premier League season remaining, the title has been settled, one team have already been relegated, and two more could follow before the final round of fixtures.
But issues of European qualification are still very much up in the air, with six teams in with a chance of playing Champions League football, and nine with a chance of European football of some sort.
The FA Cup, Europa League and league table all play their parts, which makes it all very complicated – Sportsmail guides you through all the permutations.
 

Leicester City
The simplest of all the equations. Leicester have not only secured Champions League football, they have also ensured they will be top seeds when the draw is made. Nothing to say here. 
Best case scenario: Champions League group stage
Worst case scenario: Champions League group stage
Claudio Ranieiri’s Premier League champions are already guaranteed their Champions League spot +12

Claudio Ranieiri’s Premier League champions are already guaranteed their Champions League spot
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Tottenham
Manchester City’s failure to win against Arsenal on Sunday made mathematically certain that Spurs would be playing Champions League football next season – without even having to go through the play-offs. The lowest they can finish is third.
Best case scenario: Champions League group stage
Worst case scenario: Champions League group stage
Despite a poor run of form, Spurs’ place in the Champions League group stages was confirmed this weekend +12

Despite a poor run of form, Spurs’ place in the Champions League group stages was confirmed this weekend
Arsenal 
The point against City on Sunday did not quite guarantee yet another year of Champions League football, but it came pretty close.
A point against relegated Aston Villa on the final day will assure Arsenal at least fourth, and should get them third (assuming Manchester United don’t achieve a 12-goal swing in their remaining two fixtures).
Defeat at home to Villa would see them slip out of the top four, and into the Europa League, if United win both their games and City beat Swansea.
Best case scenario: Champions League group stage 
Worst case scenario: Europa League group stage 
Arsenal need just a point on the final day to ensure they will be in the Champions League next season +12

Arsenal need just a point on the final day to ensure they will be in the Champions League next season

QUALIFICATION BY POSITION
1st: Champions League group stage
2nd: Champions League group stage
3rd: Champions League group stage  
4th: Champions League qualification round
5th: Europa League group stage
6th: Europa League group stage UNLESS: Crystal Palace win the FA Cup OR Manchester United win FA Cup and finish 5th or higher, in which case Europa league qualification round
7th: Europa League qualification round UNLESS: Crystal Palace win the FA Cup OR Manchester United win FA Cup and finish 6th or higher, in which case no European football. 
Manchester City
Champions League qualification is no longer in City’s hands – if Manchester United win their final two games, and Arsenal pick up at least a point City will finish fifth.
But they could also finish third if they win their final game, United drop points and Arsenal lose – it really is that tight. 
In between those two options is the scenario that sees them finish fourth, their current position, leaving them needing a qualifier to make it into Europe’s top competition.
Best case scenario: Champions League group stage 
Worst case scenario: Europa League group stage 
Manchester City’s Champions League hopes are no longer in their own hands, following Sunday’s draw +12

Manchester City’s Champions League hopes are no longer in their own hands, following Sunday’s draw

Manchester United
This is where it starts to get complicated. If United win their final two games, they go into the Champions League play-offs at least. If they win them and Arsenal lose to Villa, they go into the group stages. If they drop points and City don’t, they end up in the Europa League group stage. Simple enough so far.
 +12

But, if United lose both of their games, against West Ham and Bournemouth, they could finish as low as eighth, behind the Hammers, Southampton and Liverpool, which would mean they don’t qualify for European football through their league position.
That’s not all though. Whatever happens in the league, United could qualify for the Europa League by winning the FA Cup.
That means United have all the options open to them. They could be in the Champions League (if they finish third) the Champions League playoff (if they finish fourth), the Europa League (if they finish 5th OR win the FA Cup), the Europa League qualifiers (if they finish sixth and don’t win the FA Cup) or get no European football at all (if they finish seventh or lower and don’t win the FA Cup).
Best case scenario: Champions League group stage 
Worst case scenario: No European football
Manchester United still have a chance of making the Champions League, but could miss out altogether +12

Manchester United still have a chance of making the Champions League, but could miss out altogether

Southampton 

Ronald Koeman’s men are finishing the season strongly, and a win over Crystal Palace on the final day will give them a real chance of European football.
If Manchester United get a single point from their final two games, Southampton cannot finish fifth, but should they lose both, and West Ham do no better than draw with Stoke on Sunday, then the Saints will get that automatic Europa League spot.  
If they finish sixth, then Europa League football is still garuanteed – but if would be via the play-offs should Palace win the FA Cup, or if United won the FA Cup but finished below Southampton.
A seventh-placed finish – behind both United and one other side – would let them scrape into Europe as long as United also won the Cup final.
Failing to win on the final day though and they could fall as low as eighth, missing out on Europe altogether. 
Best case scenario: Europa League group stage
Worst case scenario: No European football 
A fine run of form has brought Southampton back into the Europa League race, but it is out of their hands +12

A fine run of form has brought Southampton back into the Europa League race, but it is out of their hands

West Ham
The defeat to Swansea on the weekend means West Ham’s slim Champions League hopes are mathematically over, but Europa League qualification is still very much in their own hands.
Winning both of their games would ensure at least a sixth-placed finish, thus guaranteeing Europa League football of some kind – either in the group stage or qualification round, and could lead to fifth, which would make sure of a group stage spot.
On the other hand, defeat in either of their final two fixtures leaves them in danger of finishing eighth, which would see them get no European football, or seventh, which would rely on United winning the FA Cup for them to get a Europa League qualifying place.
Best case scenario: Europa League group stage
Worst case scenario: No European football 
West Ham can no longer reach the top four, but two wins would assure them of a Europa League spot +12

West Ham can no longer reach the top four, but two wins would assure them of a Europa League spot

Liverpool
With two games to go in the league, Liverpool can still finish as high as fifth, should they beat Chelsea and West Brom, United draw with West Ham, and those two sides both lose their final games. That would ensure them Europa League qualification for next season. 
Sixth can be achieved if they win their two games but United beat the Hammers, which would mean Europa League football provided that Crystal Palace do not win the FA Cup – otherwise they would need to play in the qualifying rounds.
Seventh place would mean Europa League qualifying rounds unless it is at the expense of Manchester United, or if Crystal Palace win the FA Cup.
If they fail to pick up more points than any of the teams above them, however, and remain in eighth place, they will not be able to get into Europe through the league.  
However, Liverpool can avoid all those issues and qualify for the Champions League if they beat Sevilla in the Europa League final, going straight into the group stages.
Were that to happen, no other English team would be affected – the Premier League would end up with five Champions League places, and would only lose a Europa League place if it would otherwise have gone to Liverpool.  
Best case scenario: Champions League group stage
Worst case scenario: No European football 
Liverpool can reach the Europa League through the league , or the Champions League by beating Sevilla +12

Liverpool can reach the Europa League through the league , or the Champions League by beating Sevilla

Crystal Palace
Back to simplicity – win the FA Cup and Palace are going to Europe. Lose to United, and they aren’t. 
Best case scenario: Europa League group stage
Worst case scenario: No European football