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.
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.
Manchester United's Ander Herrera and Paul Pogba headed first-half goals to claim a 2-0 win that dumped FA Cup holders Chelsea out of the competition and secured a place in the quarterfinals in an intense tie at Stamford Bridge on Monday.
Manchester City were given a scare by League Two side Newport County but second-half goals from Leroy Sane, Phil Foden (2) and Riyad Mahrez set up a 4-1 win and a place in the FA Cup quarterfinals.
Manchester City moved back to the top of the Premier League after humiliating a stunned Chelsea 6-0 at the Etihad on Sunday.
Davinson Sanchez, Christian Eriksen and Son Heung-Min scored the goals as Tottenham earned a 3-1 victory over Leicester, with Jamie Vardy missing a penalty for the visitors with his first touch before pulling a goal back.
Arsenal returned to winning ways with a 2-1 victory over bottom side Huddersfield Town on Saturday, but remain the only side without an away clean sheet in the Premier League this season.
Liverpool strolled to a comfortable 3-0 victory over Bournemouth which saw them return to the top of the Premier League and open up a three-point lead over Manchester City.
Paul Pogba produced another superb display as Ole Gunnar Solskjaer made it 11 games unbeaten since become Manchester United manager with a 3-0 win at Fulham.
Manchester City left both Merseyside contingents wanting after the defending Premier League champions beat Everton 2-0 on Wednesday night, moving ahead of Liverpool at the top of the standings on goal difference.
Liverpool settled for a 1-1 draw at West Ham United on Monday night, leaving them three points ahead of second-placed Manchester City in the Premier League standings.
Sergio Aguero scored a hat trick as Manchester City cut Liverpool's lead at the top of the Premier League to two points by beating Arsenal 3-1 at the Etihad.
Marcus Rashford's early goal was enough to give Manchester United a 1-0 win at Leicester and secure a ninth win from 10 games in charge for caretaker manager Ole Gunnar Solskjaer.
Son Heung-Min scored a late winner as Tottenham beat Newcastle 1-0 at Wembley to move ahead of Manchester City and into second place ahead of City's home game against Arsenal on Sunday.
Gonzalo Higuain and Eden Hazard scored twice as Chelsea secured a 5-0 win over bottom-of-the-table Huddersfield at Stamford Bridge.
Liverpool capitalised on Manchester City's defeat earlier this week, but not in the way they would have wanted as they drew 1-1 with Leicester to extend their lead to five points at the top of the Premier League.
Chelsea's top-four hopes suffered a huge dent as Maurizio Sarri's side collapsed to a humiliating 4-0 defeat at mid-table Bournemouth on Wednesday -- a result that dropped them down to fifth in the table.
Tottenham Hotspur forwards Son Heung-min and Fernando Llorente scored late goals to secure a barely deserved come-from-behind 2-1 win over Watford in the Premier League at a half-empty Wembley Stadium on Wednesday.
Ole Gunnar Solskjaer's winning start as Manchester United's caretaker manager ended with a 2-2 draw at home to Burnley on Tuesday, but his side avoided defeat in spirited fashion with two late goals.
Newcastle dealt a blow to Manchester City's title hopes, beating the reigning Premier League champions 2-1 at St. James' Park on Tuesday night.
Arsenal's Pierre-Emerick Aubameyang and Alexandre Lacazette struck second-half goals to earn a 2-1 win over relegation-threatened Cardiff City in the Premier League at an emotional Emirates Stadium on Tuesday.
Gonzalo Higuain made his first start for Chelsea as two goals from Willian and a Callum Hudson-Odoi strike gave Maurizio Sarri's side a 3-0 FA Cup win over Sheffield Wednesday -- who had a penalty award overturned by VAR -- at Stamford Bridge.
Connor Wickham scored his first goal in 26 injury-hit months and Andros Townsend added another from the penalty spot as Crystal Palace knocked Spurs out of the FA Cup with a 2-0 win at Selhurst Park.
Manchester City booked their place in the FA Cup fifth round with a straightforward 5-0 victory over fellow Premier League side Burnley.
Alexis Sanchez returned to haunt former side Arsenal as he scored the opening goal in Manchester United's 3-1 win at the Emirates on Friday night.
Chelsea beat London rivals Tottenham Hotspur 4-2 on penalties on Thursday evening to book their place in the final of the Carabao Cup.
Manchester City just scored the one in their Carabao Cup semifinal second leg against Burton Albion, but it was enough to earn the holders a 10-0 aggregate victory and place in the final for the third time in four seasons.
Gonzalo Higuain has joined Chelsea on a six-month loan, with the club having an option to make the deal permanent next summer if he proves a success at Stamford Bridge.
Harry Winks proved an unlikely Tottenham Hotspur hero with a last-gasp winner in his side's 2-1 Premier League victory at lowly Fulham after a nightmare afternoon for Fernando Llorente.
Manchester City barely got out of second gear as they easily beat bottom club Huddersfield Town to close the gap on leaders Liverpool to four points.
Arsenal revived their hopes of a top-four finish with first-half goals by Alexandre Lacazette and Laurent Koscielny securing a comfortable 2-0 derby win at home to Chelsea on Saturday.
Ole Gunnar Solskjaer extended his winning start at Manchester United to eight games in all competitions as Brighton were beaten 2-1 at Old Trafford.