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.
Richarlison's early goal for Everton secured a 1-0 Premier League win over ailing Southampton on Monday to compound the woes for the visitors.
Southampton midfielder Oriol Romeu has been ruled out for the remainder of the season with an ankle injury which will need surgery, manager Ralph Ha
Liverpool last lost at home to Everton in 1999. They last lost four straight at home in 1923. The Reds are making history for all the wrong reasons.
Liverpool's losing run continued as rivals Everton earned a rare Merseyside derby victory with a 2-0 result at Anfield on Saturday.
Pep Guardiola has said Carlo Ancelotti is wrong to suggest it is "almost impossible" to play against Manchester City.
|West Ham United||34||17||7||10||+11||58|
|Brighton & Hove Albion||34||8||13||13||-4||37|
|West Bromwich Albion||34||5||11||18||-34||26|