Phil Jagielka struck the winner to down Arsenal and earn Everton three points.
The defeat damages Unai Emery’s side’s top four hopes, though they remain in fourth place on goal difference.
Chelsea are now level though on points, having played the same number of games.
Everton are up to ninth in the table as Marco Silva continues to earn momentum heading into the summer.
Here are the player ratings from Goodison Park.
Chelsea can push the Gunners out of the top four now on Monday when they take on West Ham.
