Kevin Mirallas scored for the third Premier League match in a row against Leicester City before Romelu Lukaku's stoppage-time goal sealed a 2-0 win for Everton.
Everton broke the deadlock at the King Power Stadium in the 51st minute after a long ball from Joel Robles allowed MIrallas to race clear and slot past Kasper Schmeichel.
Robles became the 50th goalkeeper to provide a Premier League assist and had to be alert to save from substitute Leonardo Ulloa’s header 15 minutes later.
Ronald Koeman's side wrapped up the points after Lukaku shrugged off Wes Morgan and fired home late on. Everton have lost only two of their last 14 PL matches against the reigning champions.