Sheffield United striker Daniel Jebbison's early strike condemned Everton to a 1-0 defeat on Sunday that could wreck their European hopes.
Everton's faint hopes of a top-four Premier League finish were all but extinguished following a goalless draw with Aston Villa at Villa Park.
Qualifying for European competition is a long shot for Everton, but with the form Dominic Calvert-Lewin is in, you'd be foolish to bet against them.
West Ham United blew their chance to apply real pressure in the race for a Premier League top-four finish as they slumped to a 1-0 home defeat.
Aston Villa rekindled their hopes of playing in European competition next season after beating Everton.
Arsenal fell at home to Everton 1-0 in the Premier League on Friday.
Tottenham Hotspur and Everton played out a thrilling draw at Goodison Park on Friday night, with Harry Kane and Gylfi Sigurdsson both scoring twice.
Brighton & Hove Albion and Everton fought out a 0-0 draw in a dour Premier League clash on Monday.
Jean-Philippe Gbamin played for the first time in 597 days, while Simy Nwankwo's double against Napoli was another African highlight last weekend.
Everton midfielder James Rodriguez scored on his return from a long lay-off on Saturday in a draw with Crystal Palace.
Everton star James Rodriguez said he only joined the club to be reunited with manager Carlo Ancelotti.
Manchester City needed late goals from Ilkay Gundogan and Kevin De Bruyne to secure a 2-0 win over Everton to reach the FA Cup semifinals.
Burnley claimed a massive three points in their quest to stay clear of the Premier League relegation zone with a 2-1 win at Everton.
Chelsea beat top-four rivals Everton at Stamford Bridge on Monday to tighten their grip on fourth place in the Premier League.
Everton striker Richarlison continued his scoring form to earn his side a hard-fought 1-0 victory over West Bromwich Albion.
|West Ham United||36||17||8||11||+10||59|
|Brighton & Hove Albion||36||8||14||14||-5||38|
|West Bromwich Albion||36||5||11||20||-37||26|