Arsenal beat Liverpool 4-2 to take a seven-point lead over Chelsea at the top of the league with seven matches remaining.
Manchester City are top on goal difference, with Chelsea second and Liverpool dropping to third, two points ahead of Arsenal, who routed Fulham 5-1.
Fans are openly speculating that owner Roman Abramovich, a man who places notoriously high demands on his managers, could call time on Jose Mourinho's second spell at Stamford Bridge if Liverpool can inflict another defeat on the champions.
Liverpool kept their push for a top-four finish in the Premier League on course as Emre Can thundered home a second-half winner to complete a hard-earned 2-1 comeback win over Burnley at a relieved Anfield on Sunday.
A stunning strike from Jordan Henderson helped Liverpool secure a comfortable 2-1 win at Chelsea on Friday that ended the London club's unbeaten start to the season and underlined the growing potential of Juergen Klopp's side.
Liverpool manager Juergen Klopp called for his players to "stay calm" and does not expect to expect wholesale changes against Burton Albion on Tuesday as they seek to quickly bounce back from their 2-0 defeat at Burnley.
Arsenal also suffered a shock defeat when they went down 2-1 at Stoke City and Hull City came from 1-4 down to push Manchester United all the way before losing 4-3 at Old Trafford, in the English Premier League.
Holders Barcelona suffered a stunning 2-1 home defeat by Russia's Rubin Kazan while Liverpool lost by the same score to Olympique Lyon at Anfield on a night of high drama and late goals in the Champions League on Tuesday.
Bernardo Silva and Jack Grealish scored three minutes apart as Manchester City came from behind to beat Premier League newcomers Luton Town.
Photos from the English Premier League matches played on Sunday
After a six-match unbeaten start to his reign as Liverpool manager Juergen Klopp came down to earth with a bump as his side lost 2-1 to Crystal Palace in the Premier League on Sunday.
Arsenal beat north London rivals Tottenham Hotspur 3-1 to surge top of the English Premier League.
Manager Arsene Wenger has silenced his critics with Arsenal's rip-roaring start to the season, club great Dennis Bergkamp said on Friday.
Manchester United bolstered their squad with a flurry of transfer deadline day signings, Manchester City and Liverpool also splashed out while ambitious Brighton & Hove Albion sealed an audacious loan deal for Barcelona's Ansu Fati on Friday.
Two defeats and a draw from their first three matches in Group A left Liverpool in the mire and needing a Houdini-like escape act to stay alive
Aston Villa blew a chance to go eight points clear of Arsenal in the race for England's fourth Champions League berth Sunday after conceding two late goals against relegation-threatened Stoke City. The 2-2 draw, with Stoke cancelling out their hosts' 2-0 lead in the final three minutes, left fourth-placed Villa six points ahead of Arsenal and three adrift of second-placed Chelsea and Liverpool in the Premier League.
Images from Sunday's action in the Premier League.
A ninth successive win in all competitions for United was celebrated with real vigour, as they moved to within a point of City in second, giving Arsenal the chance to go eight points clear at the top of the standings with a win over Tottenham Hotspur on Sunday.
Holders Manchester City cruised into the Champions League quarter-finals for the seventh consecutive season with a 3-1 victory over FC Copenhagen.
Manchester United bounced back from their defeat with a 4-1 win over Real Betis in the first leg of their Europa League last-16 tie.
Favourites Barcelona will meet Benfica in the quarter-finals of the UEFA Champions League.
Gerard Delofeu's late goal earned Everton a deserved 1-1 draw at Premier League leaders Arsenal on Sunday after Mesut Ozil's strike seemed set to seal three points for the home side.
Liverpool striker Luis Suarez has a 70 million-pound escape clause in his new 200,000-pound-a-week contract with the club, under which he could stay in Anfield until 2018 just before Christmas.
Portuguese midfielder Bruno Fernandes has been named as the new captain of Manchester United, the Premier League club said on Thursday.
Liverpool manager Jurgen Klopp could enter the transfer market after Philippe Coutinho and Dejan Lovren suffered hamstring pulls to deepen the club's injury crisis, British media reported.
IMAGES from Europa League matches played on Thursday.
Anthony Martial introduced himself to Manchester United fans with a superb goal to complete a 3-1 win over bitter rivals Liverpool and cap a much-improved performance from Louis van Gaal's side on Saturday.
European champions Real Madrid will face former champions Liverpool, FC Basel and debutants Ludogorets of Bulgaria following the draw for the group stage of the Champions league on Thursday.
2015 couldn't have started any worse for a Liverpoool fan as Liverpool captain Steven Gerrard will leave the club.
Arsenal manager Arsene Wenger has told his players to watch out for Napoli's quickfire counter-attacks when the two high-flying sides meet at the Emirates Stadium in Champions League Group F on Tuesday.
Arsene Wenger remained defiant on Sunday after Arsenal's 3-2 capitulation at Manchester United prompted much criticism, with one distinguished former international suggesting their performance bordered on 'a joke'.
Steven Gerrard scored two penalties as Liverpool went back to the top of the Premier League with a 2-1 win at West Ham United to complete a Merseyside win-double over London clubs on Sunday.
Brendan Rodgers has ruled Liverpool out of the Premier League title race this season, although he believes his side will play a part in deciding where the trophy ends up.
Barcelona were held to a frustrating 0-0 draw at Olympique Lyonnais in their Champions League last-16 first leg on Tuesday as both sides remained unbeaten in this season's competition.
The Gunners will take on Manchester United at Old Trafford in the FA Cup fifth round.
Arsenal's France midfielder Samir Nasri will be sidelined for a month following knee surgery, the Premier League club said on Wednesday.
Ashley Williams powered home a towering header in the 86th minute as Everton fought back to claim a 2-1 win over Arsenal as the title hopefuls blew the chance to return to the Premier League summit.
Arsenal travel across town to a vengeful Chelsea on Saturday knowing that another depressing defeat at Stamford Bridge would see their Premier League title hopes swept away with the lunchtime leftovers.
Images from the English Premier League matches played on Saturday.
Chelsea ended their slump with a win over Arsenal while seemingly invincible Manchester City lost their 100 per cent record to West Ham United on a day of contrasting fortunes for the Premier League title favourites on Saturday.