Manchester City secured their 10th win in 11 Premier League games, extending their lead at the top of the table with a 3-1 victory over Arsenal at the Etihad Stadium.
Tottenham Hotspur got back to winning ways in domestic football as Son Heung-Min's goal proved enough to see off an unlucky Crystal Palace at Wembley.
Liverpool deepened West Ham United's problems as they strolled to a 4-1 win at the London Stadium.
Peter Crouch's second-half header earned Stoke a point at home to Leicester and ensured a familiar scoreline at the bet365 Stadium.
New boss Claude Puel began his Leicester reign with a routine win over managerless Everton as the Foxes eased away from trouble.
Eden Hazard's first Premier League goal of the season eased Chelsea past Bournemouth 1-0 at Dean Court.
Leaders Manchester City strolled past West Brom to maintain their grip at the top of the Premier League.
Liverpool manager Jurgen Klopp got one over on best friend David Wagner as Daniel Sturridge's 100th club goal paved the way for a 3-0 win over Huddersfield at Anfield.
Arsenal came from behind to beat Swansea in Arsene Wenger's 800th Premier League game in charge of the Gunners.
Anthony Martial came off the bench to score the winning goal as Manchester United beat Tottenham 1-0 at Old Trafford.
West Ham eased the pressure on manager Slaven Bilic by fighting back from two goals down to beat Tottenham 3-2 in the Carabao Cup fourth round.
David Unsworth's first match as Everton's caretaker manager ended in a 2-1 defeat at Chelsea in the fourth round of the Carabao Cup.
Claudio Bravo was the hero as stuttering Manchester City needed penalties to see off hard-working Wolves and make the Carabao Cup quarterfinals.
Teenage striker Eddie Nketiah came off the bench to score twice on his home debut and send Arsenal into the quarter-finals of the Carabao Cup at the expense of Norwich.
Manchester United bounced back from their Huddersfield horror show with a comfortable Carabao Cup victory at Swansea.
Harry Kane scored twice as Tottenham Hotspur brushed Liverpool aside 4-1 at Wembley on an afternoon of glaring defensive frailty from Jurgen Klopp's visitors.
The pressure on Everton manager Ronald Koeman increased as his side dropped into the relegation zone after a 5-2 defeat to Arsenal at Goodison Park.
Sergio Aguero equalled Manchester City's goal-scoring record as the Premier League leaders saw off hard-working Burnley 3-0 at the Etihad Stadium.
Huddersfield are celebrating one of their best wins in decades after Aaron Mooy and Laurent Depoitre brought Manchester United's unbeaten Premier League start to a shock halt.
Michy Batshuayi came off the bench to score twice as Chelsea fought back from behind to win a six-goal thriller against Watford.
A late Wayne Rooney penalty snatched a 1-1 draw for Everton at Brighton.
Manolo Gabbiadini's double rescued Southampton as his side twice came from behind to salvage a 2-2 Premier League draw against Newcastle.
Arsenal gave away a lead to lose 2-1 away to Watford as Tom Cleverley netted an injury time winner.
Tottenham are finally off the mark at Wembley after Christian Eriksen sealed a narrow win over Bournemouth and his side's first Premier League victory under the arch.
Kevin De Bruyne orchestrated a Manchester City masterclass as Pep Guardiola's freescoring side thrashed Stoke 7-2 at the Etihad Stadium.
Crystal Palace deservedly claimed a first Premier League win of the season with a 2-1 victory over champions Chelsea at Selhurst Park.
Liverpool versus Manchester United again failed to live up to the hype as Jose Mourinho's safety-first policy saw him once more frustrate the hosts at Anfield.
Joselu handed Newcastle boss Rafael Benitez a draw against former club Liverpool as missed chances cost the visitors dearly.
Arsene Wenger celebrated his 21st anniversary as Arsenal manager with a 2-0 win over Brighton and a brilliant team goal scored by Alex Iwobi.
Manchester City demonstrated their Premier League title credentials with a dominant 1-0 victory at champions Chelsea.
Riyad Mahrez smashed a late penalty over the bar as Manchester City and Liverpool played out a dull 0-0 draw at Anfield.
Ross Barkley scored his first goal for Chelsea to help defeat Southampton 3-0 at St. Mary's on Sunday.
Arsenal midfielder Aaron Ramsey scored the goal of the game as Unai Emery's men made it nine consecutive wins in all competitions with this 5-1 victory over Fulham.
A 90th-minute goal by Alexis Sanchez helped Manchester United complete an unlikely comeback and claim a 3-2 win over Newcastle at Old Trafford on Saturday.
Eric Dier scored his first Premier League goal since April 2017 as Tottenham Hotspur defeated Cardiff City 1-0 at Wembley Stadium on Saturday.
Liverpool's unbeaten start to the Premier League season continued after Daniel Sturridge rescued a point in the dying minutes against Chelsea.
A late own goal from Watford's Craig Cathcart and a Mesut Ozil strike two minutes later gave Arsenal a 2-0 win at the Emirates on Saturday that sent them above the Hornets in the Premier League table.
Harry Kane scored twice as Tottenham Hotspur moved into fourth place in the Premier League with a 2-0 win at bottom club Huddersfield Town on Saturday.
A stunning Sergio Aguero goal capped Manchester City's 2-0 win over Brighton & Hove Albion as Pep Guardiola's champions served further notice that they will again be the side to beat in the Premier League this season.
Manchester United's miserable start to the season continued as they laboured to a 3-1 defeat at West Ham.
The brilliance of Chelsea's Eden Hazard ended Liverpool's 100 percent start to the season as Maurizio Sarri's side enjoyed a 2-1 win at Anfield in the League Cup third round on Wednesday.
Manchester City were made to work but found a way past Oxford United in a 3-0 Carabao Cup victory on Tuesday night.
Manchester United crashed out of the Carabao Cup with a defeat on penalties to Championship side Derby County on Tuesday after the third-round tie ended 2-2 in normal time at Old Trafford.
Two goals in three second-half minutes gave Arsenal a 2-0 victory over Everton at the Emirates Stadium and took them up to sixth in the Premier League table.
Chelsea were denied their sixth successive Premier League win as London rivals West Ham held them to a 0-0 draw at the London Stadium.
Tottenham Hotspur brought an end to a run of three successive defeats as they won 2-1 at Brighton on a damp Saturday evening on the south coast.
A disappointing Manchester United were held to a 1-1 draw at home to promoted Wolverhampton Wanderers at Old Trafford on Saturday, leaving them eight points adrift of Premier League leaders Liverpool.
Sergio Aguero marked his 300th appearance for Manchester City with a familiar landmark goal to set the resurgent Premier League champions on their way to a magnificent 5-0 win at Cardiff City on Saturday.
Liverpool forward Mohamed Salah netted his first league goal since Aug. 25 as the Reds thrashed Southampton 3-0 to make it six Premier League wins out of six and leapfrog Chelsea at the top of the table on Saturday.
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.