Against Patrick Vieira's Crystal Palace, they completely missed their first period, conceding goals from Frenchman Jean-Philippe Mateta (0-1, 21st) and Jordan Ayew (0-2, 39th).
We may know one day what Frank Lampard said to his men at the break, but in the second half they showed a completely different face.
Back in the starting lineup after several weeks of absence, it was defender Michael Keane who sounded the revolt by converting a deflection from the head of Mason Holgate (1-2, 54th).
A quarter of an hour from the end, a strike from Dele Alli, entered at the break, was repelled by Jack Butland, but Richarlison, well placed, took over to equalize.
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And ten minutes later, it was Dominic Calvert-Lewin, long injured this season, who scored the goal of maintaining the head, following a free kick (3-2, 85th).
With 39 points, Everton can no longer be joined by their two rivals, leaving Burnley and Leeds to engage in a dramatic distance duel on Sunday.
Going to take a point at Aston Villa (1-1), Burnley came out of the red zone on goal difference (-18 against -38) in front of the Peacocks.
They opened the scoring on a penalty conceded by Emiliano Buendia for a foul on Maxwel Cornet and converted by Ashley Barnes just before the break.
But the Argentinian made up for it by equalizing after the break (1-1, 48th).
The Claret and Blue can thank their goalkeeper Nick Pope, brilliant on a strike from John McGinn (31st) or a header from Bertrand Traoré (80th), but they can also tear their hair out thinking of the double chance missed by Connor Roberts , stopped by Emiliano Martinez and Wout Weghorst, who saw his recovery 6 meters from goal saved on his line by Tyrone Mings (85th).
Burnley will host Newcastle for the final day, while Leeds travel to Brentford, a side who are currently in form.
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