Son Heung-Min struck his second double in the space of a fortnight as Tottenham shrugged off the absence of Harry Kane to make it three Premier League wins in a row with a 2-1 triumph at Middlesbrough.
An irrepressible Liverpool ran riot in a 5-1 win against a hapless and helpless 10-man Hull as the goals continued to rain in at Anfield.
Manchester United produced a blistering first-half performance as Premier League champions Leicester City were swept aside at Old Trafford.
Manchester United will take on Manchester City in the fourth round of the EFL Cup at Old Trafford next month.
Manchester City recorded their ninth successive win under Pep Guardiola by seeing off EFL Cup opponents Swansea 2-1 at the Liberty Stadium.
Jose Mourinho's Manchester United ended a three-match losing streak and reached the EFL Cup fourth round with a timely, if at times uncomfortable, win at Northampton.
Vincent Janssen showed there may be life after Harry Kane as the stand-in striker scored his first Tottenham goal in a 5-0 romp over Gillingham.
Cesc Fabregas scored an extra-time brace as Chelsea came from two goals down to secure a 4-2 victory against 10-man Leicester City to advance to the fourth round of the EFL Cup.
Liverpool eased into the last 16 of the EFL Cup as the goals continued to flow for Jurgen Klopp's side with a 3-0 win at Derby.
Arsenal will be hoping their 4-0 victory against Nottingham Forest in the EFL Cup is a good omen.
Harry Kane scored the winner and then left the pitch on a stretcher as Tottenham secured a 1-0 victory over struggling Sunderland.
Jose Mourinho and his Manchester United side endured a week to forget as Watford secured a well-deserved victory at Vicarage Road.
Club-record signing Islam Slimani capped a dream Premier League debut as his brace powered Leicester City to victory over Burnley.
Arsenal and Alexis Sanchez continued their fine record against Hull as Arsene Wenger's side won a third straight Premier League match for the first time since December.
Pep Guardiola's stunning start at Manchester City continued as the Premier League leaders crushed Bournemouth 4-0 at the Etihad Stadium.
A dominant first-half display proved enough to give Liverpool victory over Premier League rivals Chelsea, inflicting a first defeat on Antonio Conte and ruining the homecoming of David Luiz.
Diego Costa struck twice to help Chelsea secure a 2-2 draw at Swansea City and ensure the Blues maintained their unbeaten record in the Premier League this season.
Liverpool's much-anticipated return to a new-look Anfield did not disappoint with a 4-1 win over Premier League champions Leicester.
Tottenham repeated their April annihilation of Stoke with another 4-0 win at the bet365 Stadium which maintained their unbeaten start to the season.
Santi Cazorla's controversial stoppage-time penalty was enough to give Arsenal victory over Southampton in their Premier League meeting at Emirates Stadium on Saturday.
Manchester City beat Manchester United 2-1 to extend their perfect start to the Premier League season and end that of their local rivals in an entertaining and action-packed encounter at Old Trafford.
Chelsea have confirmed they have agreed a deal to re-sign David Luiz from Paris Saint-Germain.
Marcos Alonso has joined Chelsea from Fiorentina on a five-year contract in a deal reportedly worth around £23 million.
Arsenal have confirmed the signing of Germany international Shkodran Mustafi from Valencia for a reported £35m.
Raheem Sterling struck twice as Pep Guardiola's winning start as Manchester City boss continued with a hard-fought 3-1 win over West Ham.
Marcus Rashford struck a stoppage-time winner to sink battling Hull as Manchester United maintained their 100 percent start in the Premier League under Jose Mourinho.
Arsenal's season sprung into life as they recorded their first Premier League win of the season with a 3-1 victory at Watford.
Eden Hazard inspired Chelsea to a thumping 3-0 win over Burnley to maintain their perfect start to the season.
Jamie Vardy's first goal of the season set Leicester on their way to the first victory of their Premier League title defence as Swansea were beaten 2-1 at the King Power Stadium.
Tottenham rescued a point from their Premier League clash with Liverpool when Danny Rose rewarded a second-half fightback by firing the equaliser in a 1-1 draw at White Hart Lane.
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.