It could have been so different had a Diego Costa effort that rolled along line after rounding Joel Robles gone in in the 58th minute.
But Costa’s biggest impact was his first red card in a Chelsea shirt and the fuss that followed.
He was deservedly given a second yellow for aggressively reacting to an 84th-minute challenge from Gareth Barry.
Barry denied afterwards that Costa had bitten him, despite what it looked like and followed him down the tunnel when he was sent off too.
EVERTON (4-2-3-1): Robles 6; Coleman 7, Jagielka 7, Funes Mori 6, Baines 7; Barry 7, McCarthy 7; Lennon 8 (Stones 88), Barkley 7 (Besic 90), Cleverley 7; LUKAKU 8 (Niasse 90).
Subs: Howard, Kone, Deulofeu, Osman.
CHELSEA (4-2-3-1): Courtois 6; Azpilicueta 6, Ivanovic 5, Cahill 6, KENEDY 6 (Terry 85); Matic 5 (Remy 82), Mikel 5; Willian 5 (Oscar 73), Fabregas 6, Pedro 5; Costa 6.
Subs: Begovic, Rahman, Traore, Loftus-Cheek.