Ashley Barnes slots home a massive penalty for Burnley after Emiliano Buendia takes down Maxwel Cornet in the Aston Villa box.
Marcos Alonso meets Reece James' cross on the fly and beats Kasper Schmeichel from a tight angle to pull Chelsea level with Leicester City.
Jordan Pickford bats away a cross and a shot but leaves Jordan Ayew an open Everton net to poke into and give Crystal Palace a 2-0 cushion at Goodison Park.