Manchester United consolidated their fourth place, on 22 points, after first-half goals from Chris Smalling and Wayne Rooney and a brilliant, morale-boosting strike from Robin van Persie after the break sealed a 3-0 victory over Hull City.
Holders Real Madrid breezed into the last 16 of the Champions League with two games to spare when a Karim Benzema strike secured a 1-0 win in their Group B match at home to a toothless Liverpool on Tuesday.
Adam Lallana and Jordan Henderson scored as Liverpool registered their first Premier League win since August with a 2-1 victory over West Bromwich Albion at Anfield on Saturday.
Stephan El Shaarawy took a small step towards refuelling his career at Monaco when the AC Milan loanee came off the bench to rescue a late 1-1 draw against Tottenham Hotspur in the Europa League's second round of group matches on Thursday.
Arsenal are eighth, seven points adrift of fourth-placed Chelsea, while Norwich remain second from bottom.
Liverpool's 1-0 defeat by Aston Villa on Saturday was more than an early season setback - it raised the question of whether they have the strength in depth to cope with the dual challenge ahead of them this term.
Images from the EPL matches played on Saturday
IMAGES from the English Premier League matches played on Wednesday.
Top-class goals from Bernardo Silva and Sergio Aguero took Manchester City back to the top of the Premier League in a 2-0 win over Fulham at Craven Cottage on Saturday.
Liverpool took a giant step towards their first title in 24 years with a 3-2 win at a plucky Norwich City on Sunday, opening up a five point lead over second-placed Chelsea with three matches remaining.
News of all that's transpired on and off the football field
Arsenal delivered a brutal lesson in fast-paced Premier League football to beat Liverpool 4-1 on Saturday, maintaining their faint title aspirations and almost certainly dashing their opponents' hopes of a top-four finish.
Two superb curling efforts from Jordan Henderson and Philippe Coutinho handed Liverpool a 2-1 home win against Manchester City in the Premier League on Sunday to deliver a thumping blow to Manuel Pellegrini's title aspirations.
Steven Gerrard's future at Liverpool may be in doubt but the captain turned back the clock to score in a 3-1 victory at bottom side Leicester City in the Premier League on Tuesday.
Goals rained in for Manchester City and Manchester United but Juergen Klopp's first game as Liverpool manager was solid rather than spectacular as they drew 0-0 at Tottenham Hotspur in the Premier League.
The three teams with 100 percent records in this season's Champions League can secure their places in the knockout stage this week with two games to spare.
James Maddison scored a brilliant winner to help Leicester City come from behind and beat Tottenham Hotspur 2-1 in the Premier League on Saturday in a match dominated by VAR drama.
There is never a dearth of drama in European football and here is proof...
Barcelona look well set to wrap up the La Liga title.
It is testament to Steven Gerrard's ability that his Liverpool career will be remembered for heroic acts of willpower that ensured no deficit was irretrievable and no opponent unbeatable, rather than the league title that eluded him.
Real Madrid were the big winners in Spain as their success at Almeria was followed by a Barcelona draw and a surprise Atletico Madrid defeat.
The difference in fortunes since Liverpool won 3-0 away to Manchester United in March was illustrated when Louis Van Gaal's team reversed that scoreline on Sunday.
Chelsea's unbeaten start to the season ended with a dramatic 2-1 defeat at Newcastle United; Champions Manchester City took full advantage of Chelsea's surprise reverse to cut the gap at the top.
A round-up of Saturday's matches in the English Premier League.
McTominay injury takes gloss of vibrant United display
After five years away, Champions League drama returned to Anfield like a long lost friend on Tuesday as Liverpool beat debutants Ludogorets of Bulgaria 2-1 with Steven Gerrard scoring a last-gasp penalty.
Barcelona closed in on the La Liga title after beating 10-man Atletico Madrid 2-0 in Saturday's top-of-the-table showdown at the Nou Camp as late strikes by Luis Suarez and Lionel Messi gave the Catalans an 11-point lead at the top of the table.
Liverpool scored a stunning 3-2 win over bottom side Queens Park Rangers with four goals coming in a frenzied seven-minute finale at Loftus Road as the drama continued in the Premier League on Sunday.
IMAGES from Saturday's English Premier League matches.
Images from the EPL matches played on Saturday
Arsenal scored twice in the opening seven minutes and ended the match as a contest with a third in the 19th as they crushed Manchester United 3-0 to move above them into second place in the Premier League at the Emirates on Sunday.
Leaders Chelsea have seen their lead reduced to just three points after a shock defeat, and a revival from defending champions Manchester City. Manchester United are back in third after a run of five straight wins. If Chelsea slip agains, City continue to pile on the pressure and United keep the winning momentum it will make EPL battle further interesting.
Liverpool target Chelsea after midweek tinkering, while third-placed Manchester City, whose hopes of qualifying for the Champions League knockout stage were dealt a severe blow in a humiliating 2-1 home defeat by CSKA Moscow on Wednesday, travel south to face struggling Queens Park Rangers.
Manager Brendan Rodgers has ended whatever honeymoon period new striker Mario Balotelli was enjoying at Anfield, telling him he needs to start scoring goals after finding the net just once in seven appearances for Liverpool.
Spoils were shared in two huge Premier League derbies, Chelsea's cracking start continued with a 3-0 win over Aston Villa and Wayne Rooney produced a Jekyll and Hyde display in a nervy Manchester United victory on Saturday.
Spoils were shared in two huge Premier League derbies, Chelsea's cracking start continued with a 3-0 win over Aston Villa and Wayne Rooney produced a Jekyll and Hyde display in a nervy Manchester United victory on Saturday.
Pep Guardiola says Manchester City are not yet ready to compete with Europe's elite but his side will be confident of opening their Champions League campaign with victory over Borussia Moenchengladbach on Tuesday.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field.
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.