Chris Wood returned from injury with a winning goal, the striker heading in to secure a 2-1 comeback victory for Burnley at home to 10-man Everton on Saturday.
Cenk Tosun's first Premier League goal had put Everton ahead, but the Toffees collapsed to a fifth successive away defeat in the league.
Ashley Barnes scored for the second Premier League game in a row to level after the interval, beating the otherwise impressive Jordan Pickford at his near post.
And half-time substitute Wood came up with the winner, ensuring Sean Dyche's men marked his 250th game in charge with a victory, their first in any competition since December.
Wood was featuring for the first time in 2018 and he headed in a Johann Gudmundsson corner to complete the comeback.
A disappointing afternoon for Everton worsened late on when centre-back Ashley Williams was sent off for elbowing Barnes, the Wales international now facing a suspension with Sam Allardyce's men still having work to do to make absolutely sure of safety.