Liverpool blew a chance take a vice-like grip on the title race and Chelsea suffered their worst league defeat in 23 years.
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.
Liverpool thrashed Atalanta 5-0, Real Madrid boosted their chances of reaching the Champions League knockout stages with a 3-2 home victory over Inter Milan and Bayern Munich came from behind to crush RB Salzburg 6-2.
Manchester City stumbled to the most unexpected defeat of the Premier League season on Saturday before neighbours Manchester United began their brave new world under Ole Gunnar Solskjaer with a glorious reminder of long-forgotten attacking swagger.
Chelsea manager Jose Mourinho stoked up his war of words with Manuel Pellegrini on Monday by questioning the Manchester City manager's sums.
The win allowed second-placed Liverpool to close the gap on league leaders Manchester City to two points.
A preview of the line-up action in the English Premier League
Champions Juventus returned to the top of Serie A with a 4-0 home rout of Cagliari on Wednesday, while former leaders Napoli dropped to second after being held to a goalless draw at Genoa.
Mourinho's tinkerings meant a first start of the season for midfielder Scott McTominay, playing on the right of a three-man defence, while Anthony Martial played instead of the dropped Alexis Sanchez. On this evidence, more changes may be needed when United take on Valencia in the Champions League on Tuesday.
IMAGES from the English Premier League matches played on Saturday.
IMAGES from Premier League matches played on Sunday.
A summary of Thursday night's UEFA Champions League matches.
News of all that transpired on and off the football field.
Manchester United and Chelsea secured places in the Champions League with wins on the final day of the Premier League season while Watford and Bournemouth were relegated along with bottom club Norwich City.
Tottenham Hotspur brutally exposed Liverpool's defensive frailties as Harry Kane plundered two more goals in his side's 4-1 romp at Wembley on Sunday.
Following is a match by match look at the English Premier League's weekend fixtures:
Klopp has led Liverpool to back-to-back Champions League finals but is adamant that their impressive recent track record does not make them the title favourites.
A round-up of Saturday's matches in the English Premier League.
"The best team won, we struggled from the beginning and we couldn't deal with their long balls. Usually, you press the ball to win it, but this was different. They defended so deep and so well," City coach Pep Guardiola told the BBC.
Huddersfield Town were left celebrating wildly after securing their Premier League safety on Wednesday with a dramatic and resilient 1-1 draw at Chelsea, a result that looks almost certain to condemn Swansea City to relegation.
Liverpool reached the Champions League final after riding their luck to contain a fired-up AS Roma in a 4-2 defeat at the Stadio Olimpico on Wednesday that sent them through 7-6 on aggregate.
Images from the English Premier League matches played on Saturday.
The win moved Spurs up to third but unbeaten Manchester City still looked in a class of their own at the top as Leroy Sane scored twice in a 4-0 stroll over West Ham United.
IMAGES from the English Premier League matches played on Sunday.
IMAGES from the English Premier League matches played on Saturday.
News of all that's transpired on and off the football field
Ibrahimovic was forced off with a muscle problem with 11 minutes remaining, and the Swede was pictured sitting on the bench with an ice pack strapped to the back of his left leg.
Manchester City went 11 points clear with a record 14th consecutive Premier League win in an entertaining derby against Manchester United at Old Trafford.
News of all that's transpired on and off the football field
Manchester City set a new top-flight record of 15 consecutive wins as their seemingly unstoppable march towards the English Premier League title continued with a 4-0 romp at bottom club Swansea City.
IMAGES from the English Premier League matches played on Saturday
Images from the Champions League matches played on Tuesday
Images from the English Premier League matches played on Saturday
While Lyon rallied to hold Leipzig 2-2 after a Memphis Depay strike, it was the English clubs who made a mark on the night. Liverpool and Chelsea moved into the last 16 with contrasting wins and now all four English clubs, including Manchester City and Tottenham Hotspur, are in the Champions League knockouts this season.
Images from the English Premier League matches played on Wednesday.
Inter Milan's aversion to Europa League football continued with a 3-1 defeat at Sparta Prague, while AS Roma ended a continental hoodoo stretching back seven games with a 4-0 home win over Romanian side FC Astra on Thursday.
Watford climbed into the top four of the Premier League after Tom Cleverley's 92nd-minute goal gave them a 2-1 victory over Arsenal at Vicarage Road on Saturday.
A round-up of Wednesday's night's UEFA Chmpions League matches.
Real Madrid's Cristiano Ronaldo was the scourge of AS Roma again as he inspired the hosts to a 2-0 win and a place in the Champions League quarter-finals on Tuesday, scoring and setting up a goal Rodriguez to seal a 4-0 aggregate victory.
News of all that's transpired on and off the football field