Rafael Benitez and David Moyes bid farewell to their respective clubs on Sunday and will look to end their tenures on a high.
Chelsea are looking for a victory at Stamford Bridge to avoid the prospect of a play-off with Arsenal for third place in the Premier League.
Benitez's side know three points will guarantee them third place but if they draw 0-0 and Arsenal beat Newcastle United by more than one goal, Arsene Wenger's men would overhaul them.
If Chelsea were to draw 0-0 and Arsenal win 2-1 the two teams will be level on points, goal difference and goals scored which would mean a third-place play-off match for the first time in Premier League history.
The winner would finish third and automatically qualify for the UEFA Champions League group stages.
For Everton and their Manchester United-bound boss, they know victory would give them their best points record in the Premier League, one more than the 65 they achieved in 2007-08.
Moyes has never guided his side to victory at Stamford Bridge, in fact Everton have not won there in the league since November 1994 when a Paul Rideout goal handed them all three points.
Everton come into the game with just two defeats in their last 10 games but their recent record is bettered by Benitez's side, who have only lost once in the league in that time.
They will also be on a high having won the UEFA Europa League against Benfica on Wednesday with a last-gasp Branislav Ivanovic goal.
Eden Hazard, John Terry and Ryan Bertrand all missed out in Amsterdam and they look unlikely to make this clash due to hamstring, ankle and knee injuries respectively.
Everton's only concern is around Phil Neville, the 36-year-old has not played for the club since March and a knee injury means he will not recover in time to make one final appearance before leaving the club at the end of the season.