Matheus Cunha struck just before half-time to earn Manchester United a 1-0 victory at luckless Chelsea on Saturday, taking them a big step closer to Champions League football next season.
Manchester United defeated Aston Villa to strengthen their position in the Premier League top four, while Liverpool were held to a draw by Tottenham Hotspur.
Midfielder Phil Foden delivered in dramatic fashion, scoring in the first and 91st minutes, to seal Manchester City's 3-2 victory over Leeds United.
Second-placed City would have reduced Arsenal's advantage to two points but instead were frustrated as their winning streak in all competitions was halted at eight.
IMAGES from the Premier League matches played on Sunday
IMAGES from the English Premier League matches played on Saturday.
Leandro Trossard transformed the mood at Arsenal with the winning goal as they recovered from an early setback to beat Tottenham Hotspur 2-1 at home.
Images from the English Premier League matches played on Saturday.
A summary of Sunday's action in the Premier League.
A brilliantly-worked goal by Ryan Christie and a Justin Kluivert penalty gave Bournemouth shock 2-0 Premier League win at home to 10-man Arsenal.
IMAGES from the Premier League matches played on Saturday.
IMAGES from the Premier League matches played on Saturday.
Arsenal's best chance to equalise came from a Granit Xhaka free kick which looked destined for the top corner until the Gunner's former keeper Emiliano Martinez at full stretch pushed it around the post with a fingertip save.
Everton and Manchester United drew 1-1 at Goodison Park in the Premier League on Sunday in an enthralling game which ended with late VAR drama.
IMAGES from the English Premier League matches played on Sunday.
Images from the English Premier League matches played on Saturday.
IMAGES from the Premier League matches played on Saturday.
Tottenham Hotspur showed the English Premier League title race might not be just a two-horse affair with a hugely impressive 6-2 win at Everton.
IMAGES from the Premier League matches played on Saturday
Chelsea, Manchester City and Manchester United enjoyed comfortable wins in the English Premier League on Saturday as fans returned to stadiums after an eight-month absence.
James Rodriguez netted twice and Dominic Calvert-Lewin became the first Everton player to score in the opening four matches of a Premier League season as they beat Brighton & Hove Albion 4-2 on Saturday to stay top of the table with a maximum 12 points.
Everton have 36 points from 26 games
Arsenal squandered a two-goal lead as Watford hit back to draw 2-2 in new manager Quique Sanchez Flores's first game of his second stint in charge at Vicarage Road on Sunday.
A round-up of Saturday's action in the Premier League.
Images from Saturday's action in the English Premier League.
Indian-American engineer-entrepreneur Shrina Kurani challenges a 30-year Republican veteran in a US Congressional race in a district that is predominantly white.
New Everton boss Sean Dyche's reign began with a shock 1-0 victory over English Premier League leaders Arsenal.
Images from Saturday's action in the Premier League.
A rejuvenated Manchester United claimed a sixth win from six matches since former striker Ole Gunnar Solskjaer stepped in following the sacking of Jose Mourinho.
The hosts had looked on course to take all three points from a drab match when Anthony Knockaert pounced on a loose ball and fired home eight minutes from full-time.
A round-up of Sunday's action in the Premier League.
Manchester City moved 17 points clear of the pack with a 3-0 win at Fulham on Saturday
Liverpool's Trent Alexander-Arnold scored with a spectacular strike as they overcame the loss of three players to suspected positive COVID-19 tests and conceding an early goal to beat Newcastle United 3-1 in the Premier League on Thursday.
Manchester United remain winless at home in the league this season after Arsenal enjoyed their first win at Old Trafford
A makeshift England side beat Romania 1-0 in their final Euro 2020 warm-up game, while Belgium's Romelu Lukaku underlined his status as one of the world's top strikers with his 60th international goal to secure a 1-0 win over Croatia.
Leicester City won at Arsenal for the first time in 47 years on Sunday, with substitute Jamie Vardy's late close-range header enough to secure victory in the Premier League at The Emirates.
Images from Saturday's action in the English Premier League.
Images from the English Premier League matches played on Saturday
A round-up of Saturday's action in the Premier League.
Two late goals by Everton substitutes brought the Merseysiders a third successive win when they beat Crystal Palace 2-0 at Goodison Park in Sunday's only Premier League game.
