Yerry Mina’s final equalizer at Wolves earned Everton an invaluable point in their fight for survival in the Premier League.
The defender struck seconds from time to secure a 1-1 draw to give the Toffees hope after Hwang Hee-chan put Wolves ahead in the first half.
Their 69-year tenure in the top flight remains in question and Sean Dyche’s side could still find themselves in the relegation zone ahead of next week’s final.
Leeds meet West Ham on Sunday before Leicester travel to Newcastle on Monday and a win for both would lift them above Everton.
They currently sit two points clear of the Premier League’s bottom three ahead of next Sunday’s away game against Bournemouth.
Dyche had told his players to ignore the noise but they struggled for a long time, once again losing Dominic Calvert-Lewin to injury.
It will produce a nervous Goodison Park, who saw their last relegation from the top flight in 1951.
The Wolves’ difficult season – bottom of the table at Christmas – will ultimately end in mid-table, thanks largely to seven home wins in ten games since the turn of the year.
Julen Lopetegui had stressed the importance of the integrity of the Premier League and insisted his team would not keel over while matters ultimately needed to be resolved.
However, it was understandable that Everton got off to the better start as Calvert-Lewin grazed the side netting before nodding Alex Iwobi’s cross over the goal.
The Toffees needed that urgency and against a Wolves side with six substitutions they were the attacking force, despite losing Nathan Patterson to injury after 29 minutes.
Mina headed over after Daniel Bentley missed a corner and Everton were ahead but were caught on the break after 34 minutes to take the lead.
The visitors pressed on the edge of the Wolves box, but Abdoulaye Doucoure’s easy pass fell to Adama Traore, who turned on the afterburners.
The forward launched an unstoppable 70-yard run and fended off Amadou Onana, and when his shot was parried by Jordan Pickford, Hwang hit the rebound.
It was tough for Everton but things got worse in first-half injury time when Calvert-Lewin, who was substituted in last week’s Manchester City defeat with a groin problem, limped.
Demarai Gray replaced him but there was no focus and second-half reaction was limited. Gray showed their lack of presence up front when his wicked cross from the six yard box was missed by everyone.
Wolves were slowly gaining control and Pablo Sarabia rolled wide before Daniel Podence’s volley went wide.
An erratic Iwobi strike was all Everton could muster until Bentley pushed Gray’s push back with 21 minutes to go, but as time was running out there was little sign of recovery.
Iwobi’s shot deflected wide and the Toffees needed Pickford to save Matheus Nunes late.
But they clinched an unlikely point in the ninth minute of added time when Mina fired in from close range following a rebound from Michael Keane.