The Cottagers made a bright start and went ahead through a thumping Raul Jimenez header after good work from Emile Smith Rowe.

But despite attempts from Harry Wilson and Alex Iwobi, Fulham failed to build on that momentum, and Everton restored parity as Vitalii Mykolenko's deflected effort fortuitously found the net on the stroke of half-time.

Jordan Pickford pulled off a spectacular save to keep out Wilson's audacious lob, and Everton was rewarded for a much-improved second-half performance when Keane headed home from Dwight McNeil's deep corner in the 70th minute.

After a long video assistant referee (VAR) check to confirm that goal, Everton swiftly made it 3-1 - Beto's effort squirming through the grasp of Bernd Leno.

Fulham wanted a penalty deep into stoppage-time, but after a VAR check, referee Darren England stuck to his original decision not to penalise Mykolenko for handball.

And although Marco Silva's team remain in 11th place, victories for Brighton and Hove Albion and Brentford mean it is now four points adrift of eighth place with just two games remaining, while Everton leapfrogged Wolverhampton Wanderers into 13th.