Wolverhampton Wanderers stun Liverpool 2-1 with a 94th-minute winner to revive survival hopes and dent the Reds' top-five push, while Everton and Sunderland claim crucial Premier League victories.
Premier League leaders Arsenal needed two own goals, the second deep in stoppage time, to scrape a 2-1 home win over bottom club Wolverhampton Wanderers and open a five-point gap, while earlier on Saturday Mohamed Salah put aside a tumultuous week to help Liverpool beat Brighton and Hove Albion 2-0.
Crystal Palace scored a stoppage-time winner to edge Liverpool 2-1 while Manchester United and Chelsea lost by an identical 3-1 margin in the English Premier League on Saturday.
After Saturday's 2-1 win at Chelsea - their 12th in 13 league matches - Aston Villa have claimed 18 points from losing positions so far this season, more than any other team.
Arsenal maintained a searing pace at the top of the Premier League with a straightforward 2-0 win at Burnley, while Liverpool snapped a dreadful four-match losing run with a 2-0 victory over Aston Villa to climb provisionally to third.
Second-string Liverpool were thumped 3-0 by Crystal Palace as Ismaila Sarr struck twice for the visitors in the League Cup on Wednesday, booking the London side's spot in the quarter-finals and piling more misery on Arne Slot's struggling side.
A summary of Sunday's Premier League matches
A much-changed Liverpool were dumped out of the FA Cup by struggling second-tier side Plymouth Argyle, who pulled off a stunning 1-0 fourth round win.
A round-up of Saturday's action in the Premier League.
Liverpool climbed to the top of the Premier League table with a 2-1 victory over struggling Wolverhampton Wanderers on Saturday.
Liverpool suffered a shock 2-1 loss to Championship side Wolverhampton Wanderers in the FA Cup fourth round on Saturday, handing manager Juergen Klopp a third home defeat in a row.
Liverpool resumed their march to a second Premier League title on Sunday with a 2-1 victory over West Ham United.
Images from Sunday's action in the Premier League.
A summary of Thursday's action in the Premier League.
IMAGES from the Premier League matches played across England, on Saturday.
Images from the English Premier League matches played on Saturday night.
IMAGES from the EPL matches played on Saturday.
A summary of Saturday's action in the FA Cup.
New Everton boss Sean Dyche's reign began with a shock 1-0 victory over English Premier League leaders Arsenal.
Images from Saturday's action in the Premier League.
A summary of Saturday's action in the Premier League.
IMAGES from the Premier League matches played on Saturday.
A round-up of Saturday's fifth round action in the FA Cup
Liverpool's slim Premier League title hopes faded further on Saturday when Michail Antonio's late header earned West Ham United a deserved point with a 2-2 draw.
Aston Villa returned to winning ways in stunning fashion as Ollie Watkins scored twice in a 3-0 away thumping of an abject Arsenal in drizzly north London on Sunday.
Images from Saturday's action in the Premier League.
Arsenal survived a massive scare as they registered a thrilling Premier League win over Bournemouth to remain on top of the table.
Goalkeeper Alisson Becker scored a stunning header in the fifth minute of stoppage-time as Liverpool snatched a 2-1 victory at the death against relegated West Bromwich Albion at The Hawthorns on Sunday.
Tottenham Hotspur and Liverpool raised the spirits with a rip-roaring 2-2 draw in a pre-Christmas Premier League classic on Sunday after a weekend marred by COVID-19 related postponements.
Liverpool opened up an eight-point lead at the top of the Premier League with an emphatic and hugely impressive 3-1 win over defending champions Manchester City.
A round-up of Saturday's action in the Premier League.
IMAGES from English Premier League matches played on Sunday.
IMAGES from the English Premier League matches played on Saturday.
Kevin de Bruyne struck twice to inspire Manchester City to a dominant 4-2 win at Crystal Palace on Saturday and move the champions level on points with Liverpool at the top of the Premier League table.
Manchester City won an unprecedented fourth straight English top flight title with a 3-1 win over West Ham United.
A Roberto Firmino hat-trick proved the highlight of Liverpool's 5-1 demolition of Arsenal as the Premier League leaders opened a nine-point gap over Tottenham Hotspur, who lost 3-1 to Wolverhampton Wanderers.
Imperious Liverpool extended their Premier League home winning streak against Arsenal to six on Saturday with an easy 4-0 victory that lifted them to second in the table.
Liverpool had won each of their previous four home leagues games in which they conceded first and 12 minutes later they had turned another match on its head as Roberto Firmino's trickery set up Mane to give the hosts the lead at the second attempt.
Images from the Premier League matches played on Saturday, March 9.
Two goals each for Roberto Firmino and Sadio Mane helped Liverpool to keep in touch with Premier League leaders Manchester City with a 4-2 win over lowly Burnley at Anfield on Sunday.