The result pushed Chelsea into third in the Premiership as Arsenal went top after a 2-1 home win over Fulham.
After being dropped last week, Coleman returned to the Everton side and joined in the celebrations as Jermaine Beckford rattled in an equaliser four minutes from the end of the game.
Minutes earlier powerhorse Coleman had a great chance, but headed a Baines cross straight at Chelsea keeper Cech.