Manchester United have scored 14 goals and earned maximum points from their four matches under interim boss Ole Gunnar Solskjaer.
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.
Two big derbies and an eventful weekend of football awaits us all...
Liverpool took a giant step towards their first title since 1990 on Saturday when their 3-0 win at Bournemouth combined with Manchester United's 2-1 victory at Manchester City to leave the champions 14 points adrift of the Premier League leaders.
Arsenal will begin their quest to become the first team in modern times to win the FA Cup three years running with a home tie against fellow Premier League side Sunderland in January.
Whatever happens in the title battle between Manchester City and Liverpool, which will go down to the final day of the season
Aston Villa sacked manager Paul Lambert.
A summary of Tuesday's League Cup matches.
West Ham United will know later on Friday whether Andy Carroll will have to complete a three-match suspension after the English FA agreed to an arbitration hearing following a failed appeal against his red card in a Premier League match last week.
Only one point separates the two sides with Chelsea on 31 and City on 30 but Antonio Conte's impact at Stamford Bridge appears greater than his City counterpart Pep Guardiola's at the Etihad.
Late goals from Nicklas Bendtner and Theo Walcott spared Arsenal's blushes and kept them top of the Premier League in a 2-0 victory over Cardiff City as title rivals Manchester City and Chelsea also won on Wednesday.
Images from Saturday's action in the English Premier League.
Brighton & Hove Albion scored three times in the second half to fight back from two goals down and beat Manchester City
Sergio Aguero struck twice as Manchester City came from behind to beat Burnley 2-1 at Turf Moor in the Premier League on Saturday.
Liverpool manager Brendan Rodgers was adamant that he did not regret his team selection despite falling to a fifth Premier League defeat against table-topping Chelsea on Saturday.
Tottenham Hotspur have the chance to exert psychological pressure on Premier League leaders Chelsea when they open the weekend programme at home to Watford on Saturday.
Chelsea's on-loan Brazilian international Alexandre Pato scored on his debut to help push pathetic Aston Villa to the verge of inevitable relegation with a seventh successive Premier League defeat on Saturday. Pato, the former Milan starlet who has been kicking his heels since joining from Corinthians two months ago, came on as a 25th-minute substitute and was immediately involved in the move which led to Ruben Loftus-Cheek netting his first league goal.
Leicester City manager Claudio Ranieri ruled himself out of the running for the job of Italy head coach on Thursday and said he hoped to stay at the Premier League leaders for years to come.
News of all that transpired on and off the football field.
Chelsea's commanding start to the Premier League season continued with a 3-0 victory over Aston Villa on Saturday as their rivals for the title continued to look vulnerable.
Andy Carroll scored a eight-minute hat-trick as West Ham United's last London derby at Upton Park ended in a barnstorming 3-3 draw with Arsenal on Saturday -- a result that dented both club's respective ambitions.
But for third-placed Spurs, who trail leaders Manchester City and Liverpool by five points, this may prove to be a loss that leaves them with too much ground to make up.
IMAGES from the EPL matches played on Saturday
Images from the League Cup matches played on Tuesday
Sanchez, 28, is currently in the final year of his contract. He has been linked with a move to Paris St Germain in the current transfer window.
Images from Wednesday's action in the UEFA Champions League.
Champions Chelsea begin title defence at home to Swansea City, while runners-up Manchester City kick-off at West Bromwich Albion
News of all that's transpired on and off the football field
Liverpool were sent spinning to a 2-0 defeat at promoted Burnley in the English Premier League on Saturday while Chelsea came from behind to win 2-1 at Watford thanks to late goals from Michy Batshuayi and Diego Costa.
All eyes will be on Manchester United manager Louis van Gaal when he takes his team to Derby County for an FA Cup fourth-round tie on Friday with the fans' boos from their home defeat by Southampton still ringing in his ears.
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
This and more from the happenings in the world of football
Liverpool blew a chance take a vice-like grip on the title race and Chelsea suffered their worst league defeat in 23 years.
Chelsea kept up their 100 percent start to the English Premier League season by snatching a 2-1 win at a stubborn Newcastle United on Sunday, grabbing victory thanks to a late own goal by DeAndre Yedlin.
The Dimitri Payet saga may have been preying on the minds of West Ham fans of late but the swaggering talent of big Andy Carroll is helping them forget all about the unseemly sideshow involving their French midfielder.
Chelsea play "ugly" football under Jose Mourinho and the Premier League's runaway leaders deserve to be branded as boring because of their refusal to attack teams, their former manager Ruud Gullit has said.
Chelsea manager Jose Mourinho delivered an expletive-laden halftime team talk that fired his side to a 3-1 comeback victory over Leicester City on Wednesday and moved them to within three points of the Premier League title.
Here are five talking points from the weekend's Premier League action:
Manchester United's winless run continued but they gave under-fire coach Louis van Gaal crumbs of cheer with a committed display in an entertaining 0-0 draw with Chelsea while Arsenal went top of the table on Monday.
'If you are a big player, and paid like a big player, you must play like a big player and behave like a big player'