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.
Manchester City's quadruple trophy bid was sensationally derailed by a shocking 1-0 defeat at third-division Wigan in the FA Cup fifth round on Monday.
Substitute Steve Davies earned Rochdale an FA Cup fifth-round replay at Wembley Stadium with his remarkable stoppage-time equaliser against Tottenham Hotspur at Spotland.
Manchester United overcame the video assistant referee's controversial intervention and reached the FA Cup quarterfinals thanks to Romelu Lukaku's brace at Huddersfield.
Willian dispatched two inch-perfect finishes as Chelsea cruised past Hull 4-0 and into the FA Cup quarter-finals.
Sheffield Wednesday fan Jamie Vardy put the Blades to the sword as Leicester knocked Sheffield United out of the FA Cup.
Chelsea eased the growing pressure on Antonio Conte and returned to the Premier League's top four with a convincing 3-0 win over West Brom.
Liverpool moved back above Tottenham and into third place in the Premier League table as two first-half goals gave them a routine 2-0 victory at struggling Southampton.
Matt Ritchie scored a second-half winner for Newcastle as they lifted themselves out of the relegation places with a 1-0 victory over Manchester United at St James' Park.
Sergio Aguero scored four times as Manchester City extended their Premier League lead to 16 points with a 5-1 demolition of Leicester at the Etihad Stadium.
Everton's Sam Allardyce won the battle of ex-England managers at Goodison Park to ease growing pressure with a 3-1 victory over Roy Hodgson's struggling Crystal Palace.
Harry Kane proved Arsenal's nemesis again as his bullet header earned Tottenham a deserved 1-0 victory in the North London derby.
Erik Lamela scored his first goal in 17 months as Tottenham sauntered past Newport and into the fifth round of the FA Cup.
Swansea recorded their biggest-ever FA Cup win as Notts County were demolished 8-1 at the Liberty Stadium.
Antonio Conte's future as Chelsea boss was cast into further doubt as his 10 men were thrashed 4-1 by Watford on Monday night.
Mohamed Salah and Harry Kane traded stoppage-time goals as Liverpool and Tottenham drew 2-2 in a wild affair at Anfield on Sunday.
Newcastle resisted intense pressure from Crystal Palace to earn a 1-1 draw at Selhurst Park that again took them clear of the bottom three.
`Aaron Ramsey hit a hat trick with Arsenal fans treated to their first showing of their January transfers in tandem as both Henrikh Mkhitaryan and Pierre-Emerick Aubameyang shone in a comfortable 5-1 win over Everton.
Alexis Sanchez's first goal for Manchester United wrapped up a 2-0 victory against Huddersfield on a day when the clubs came together to remember those who lost their lives in the Munich air disaster.
Swansea's resurgence continued as they climbed out of the Premier League relegation zone with a 1-1 draw at Leicester, who were again without want-away midfielder Riyad Mahrez.
Johann Berg Gudmundsson struck a late equaliser as Burnley grabbed a 1-1 draw against Premier League leaders Manchester City at Turf Moor.
Christian Eriksen scored within 11 seconds as Tottenham brushed aside a below-par Manchester United to seal a crunch 2-0 victory in the race for the top four.
Kevin De Bruyne was again the inspiration as Manchester City opened up a 15-point lead at the top of the Premier League with a 3-0 win over West Brom.
Theo Walcott's maiden Everton goals secured a first win in eight matches as a 2-1 triumph over Leicester arrested their slide under Sam Allardyce.
Bournemouth scored three goals in 16 remarkable second-half minutes to record a sensational 3-0 victory against Chelsea at Stamford Bridge on Wednesday evening.
Arsenal have completed the signing of striker Pierre-Emerick Aubameyang from Borussia Dortmund for a fee of €63.75 million (£56m).
Chelsea have completed the signing of Olivier Giroud from Arsenal for a reported £16.25 million on an 18-month contract.
Tottenham Hotspur have completed the signing of winger Lucas Moura from Paris Saint-Germain for a fee of в‚¬28 million.
Liverpool bounced back to winning ways in the Premier League and maintained their Champions League challenge with a 3-0 win at Huddersfield.
Swansea climbed out of the relegation zone for the first time in three months as Petr Cech's dreadful howler helped condemn Arsenal to a 3-1 defeat at the Liberty Stadium.
Two first-half goals were enough to see Manchester City comfortably through to the FA Cup fifth round at Championship side Cardiff City.