Shkodran Mustafi's header saw Valencia get back to winning ways in a hard-fought Primera Division clash with Granada.
Mathieu Flamini struck twice as Arsenal beat north London rivals Tottenham 2-1 in the third round of the Capital One Cup at White Hart Lane.
Anthony Martial stepped off the bench and scored his fourth goal in four matches as Manchester United strolled into the fourth round of the Capital One Cup with a 3-0 win over Ipswich.
Chelsea continued to rebuild their season as they eased past Walsall in the Capital One Cup.
Liverpool manager Brendan Rodgers' torturous season continued as they scraped through a Capital One Cup tie on penalties against League Two Carlisle.
Everton reached the fourth round of the Capital One Cup after a deserved 2-1 defeat of Championship opponents Reading.
Kevin De Bruyne and Raheem Sterling were on top-form as Manchester City cruised to a 4-1 Capital One Cup victory at Sunderland to end a two-game losing run in explosive fashion.
Anthony Martial struck twice to make it three goals in two games for Manchester United as Louis van Gaal's men came from behind to beat Southampton 3-2 at St Mary's.
Liverpool's Danny Ings scored within two minutes of coming on -- but his side were held 1-1 by Norwich at Anfield.
Tottenham earned their first home win of the Premier League season with a convincing 1-0 defeat of Crystal Palace.
West Ham withstood a barrage of second-half pressure to condemn Manchester City to their first defeat of the Premier League season.
Gabriel Paulista and Santi Cazorla were both sent off for Arsenal as Chelsea clinched a 2-0 win over their Premier League rivals.
Ryan Mason fired Tottenham to their first Premier League victory of the season as Sunderland were made to wait for theirs.
Anthony Martial scored on his Manchester United debut to seal a 3-1 win over rivals Liverpool as goalkeeper David De Gea made his comeback.
Kelechi Iheanacho scored a dramatic late winner within seconds of coming on against Crystal Palace to preserve Manchester City's 100 percent record in the Premier League.
Goals from Theo Walcott and Olivier Giroud earned Arsenal a 2-0 win over Stoke, but it should have been far more convincing for Arsene Wenger's side.
Steven Naismith struck a brilliant hat trick as stuttering Premier League champions Chelsea crashed to a 3-1 defeat at Everton.
Manchester United goalkeeper David De Gea has signed a four-year contract extension less than two weeks after a proposed move to Real Madrid collapsed on transfer deadline day.
Manchester United have completed the signing of forward Anthony Martial from Monaco.
Two goals in five minutes saw Swansea beat Manchester United at the Liberty Stadium. Juan Mata gave the hosts the lead before Andre Ayew equalised and Bafetimbi Gomis netted the winner.
Manchester City have signed Kevin De Bruyne from Wolfsburg for around £54 million.
Tim Howard denied Tottenham their first Premier League win of the season with a string of superb saves that enabled Everton to leave White Hart Lane with a goalless draw.
Liverpool endured a miserable afternoon as they slumped to a 3-0 home defeat to West Ham United and saw Philippe Coutinho sent off.
Chelsea's poor start to the season continued as they lost 2-1 at home to Crystal Palace.
Raheem Sterling struck his first Manchester City goal as Manuel Pellegrini's men maintained their flying Barclays Premier League start with a 2-0 win over Watford.
Fabricio Coloccini's own goal handed Arsenal a hard-fought victory at Newcastle after Aleksandar Mitrovic was sent off just 16 minutes into the game.
Arsenal will travel to Tottenham in the stand-out tie of a strong Capital One Cup third-round draw.
Both Arsenal and Liverpool enjoyed a half of dominance at the Emirates Stadium on Monday - but neither side could find a winning goal to take the three points.
Aleksandar Kolarov and Samir Nasri struck in the second half as Manchester City maintained their winning to the season with a 2-0 victory at Everton.
Pedro Rodriguez struck a debut Chelsea goal to inspire the champions to their first win of the season at West Brom as John Terry's difficult campaign continued.
West Ham United beat Everton 3-1 at Goodison Park on Sunday to secure their first Premier League points of the season as Marco Silva tasted defeat for the first time as Everton manager.
Manchester United ruined Watford's first perfect start to a Premier League season with a 2-1 victory at Vicarage Road on Saturday.
Manchester City comfortably defeated Fulham 3-0 at the Etihad Stadium on Saturday to stay within two points of leaders Liverpool and Chelsea.
A free kick by midfielder Granit Xhaka and a goal by Mesut Ozil gave Arsenal a 2-1 win at Newcastle United despite a stuttering first-half performance on Saturday.
A hat trick from Eden Hazard gave Chelsea their fifth win in five games, a 4-1 victory over Cardiff City that sent them to the top of the Premier League on Saturday.
Liverpool continued their perfect start to the season after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley Stadium on Saturday.
Watford came from behind with two set-piece goals to beat Tottenham Hotspur 2-1 at Vicarage Road on Sunday, ending the visitors' perfect start to the Premier League season while maintaining their own.
Manchester United fans showed their backing for manager Jose Mourinho after Romelu Lukaku struck twice as United returned to winning ways after two successive Premier League losses with a 2-0 victory at Burnley on Sunday.
Alexandre Lacazette scored his first goal of the season in his first start under Unai Emery, handing Arsenal a 3-2 victory away against Cardiff City.
Raheem Sterling and Kyle Walker each scored as Manchester City defeated Newcastle United 2-1 at the Etihad Stadium on Saturday.
Chelsea stretched their perfect Premier League start to four games after second-half goals from substitute Pedro and Eden Hazard gave them a 2-0 home win over Bournemouth on Saturday.
Sadio Mane and Roberto Firmino scored in the first half as Liverpool won their first four Premier League games for the first time with a 2-1 victory over Leicester City on Saturday at the King Power Stadium.
Liverpool will host Chelsea while Frank Lampard's Derby County will visit Manchester United following the third-round draw for the Carabao Cup held on Thursday.
Tottenham piled on more woe for Manchester United, running out 3-0 winners at Old Trafford on Monday night to hand the hosts a second Premier League defeat in as many weeks.
Chelsea left it late but came away with a 2-1 win over Newcastle thanks to a late DeAndre Yedlin own goal St James' Park on Sunday.
Unfancied Watford continued their great start to the Premier League season with a third successive win when they beat visiting Crystal Palace 2-1 on Sunday.
Mohamed Salah's 23rd-minute strike was enough to earn Liverpool a 1-0 win over a dogged Brighton and Hove Albion and give them an early top spot in the Premier League with three wins out of three.
Arsenal celebrated their first Premier League win of the season under new manager Unai Emery after coming from behind to beat London rivals West Ham United 3-1 in an action-packed match on Saturday.
Manchester City stumbled to a 1-1 draw at Wolves in a tense lunchtime encounter at Molineux.
Liverpool's James Milner's converted a penalty on the stroke of halftime and Sadio Mane added a late second goal to secure a hard-fought 2-0 win at Crystal Palace in the Premier League on Monday.
Manchester United conceded three first-half goals as they slumped to a 3-2 defeat at Brighton in a game illuminated by a superb goal from Seagulls striker Glenn Murray.
Sergio Aguero scored his 13th hat trick for Manchester City as the Premier League champions brushed Huddersfield aside in a 6-1 win at the Etihad Stadium.
Chelsea secured their second straight win of the season and sentenced Arsenal to a second defeat with a 3-2 win in a Stamford Bridge thriller that had seen Arsenal fight back from two goals down to level.
Leicester City had Jamie Vardy sent off but it did not stop them from recording a comfortable 2-0 home victory over Wolverhampton Wanderers in the Premier League on Saturday.
Harry Kane finally ended his August goalscoring drought as England's World Cup luminaries inspired Tottenham Hotspur to a morale-boosting 3-1 Premier League win over newcomers Fulham on Saturday.
Kenedy missed a 96th-minute penalty as Cardiff secured a 0-0 draw against 10-man Newcastle in their first home game back in the Premier League.
Manchester City midfielder Kevin De Bruyne is facing a spell on the sidelines after injuring his right knee in training on Wednesday.
Manchester City, who romped to Premier League success by 19 points last season, began the defence of their title with a 2-0 win away against Arsenal and new manager Unai Emery on Sunday.
Sadio Mane had two goals for the first time since February 2017 and Mohamed Salah also scored as Liverpool opened their Premier League season with a 4-0 victory over West Ham United at Anfield.
Richarlison scored twice in his first Premier League appearance for 10-man Everton, but a late goal from Raul Jimenez helped Wolverhampton Wanderers salvage a 2-2 draw at the Molineux Stadium.