Richarlison scored a stoppage-time goal against Leicester to earn Everton a precious point in their bid to stave off relegation.
Frank Lampard's side were staring defeat in the face and the prospect of slipping into the Premier League's bottom three should Burnley beat Southampton on Thursday.
But after a nightmare start to the game when James Maddison's cross was turned in by Harvey Barnes, they turned the game in their favour in the second half with substitutes Dele Alli and Salomon Rondon playing a key role.
After Richarlison wasted several good chances, it looked as if Brendan Rodgers would earn his first win at Goodison Park.