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.
Southampton were left in the Premier League's bottom three after losing an early lead to draw 1-1 at home to fifth-placed Tottenham Hotspur on Sunday.
A summary of Tuesday's action in the Premier League.
Images from Saturday's action in the Premier League.
Images from the English Premier League matches played on Saturday.
Leicester City suffered a frustrating night on the south coast as they were held to a 1-1 draw in the Premier League
IMAGES from the English Premier League matches played on Saturday.
Arsenal ended their seven match winless run in the Premier League with a surprise 3-1 London derby victory over Chelsea at the Emirates Stadium on Saturday while Manchester United were held to a 2-2 draw at Leicester City.
Ole Gunnar Solskjaer's side, who had won their last ten away games in the Premier League, stay third on 27 points, a point behind second-placed Leicester.
Newcastle grabbed a point to leave City manager Pep Guardiola frustrated.
Images from the English Premier League matches played on Saturday.
Manchester City move a step closer to the Premier League title after a game in which both sides finished with 10 men.
Spurs, who stayed fifth in the table with 36 points from 18 matches, one behind arch-rivals Arsenal and three adrift of third-placed Manchester City, visit 10th-placed Watfor
IMAGES from the English Premier League matches played on Sunday.
IMAGES from the EPL matches played on Saturday
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.
On a seismic day in the history of Chelsea, Romelu Lukaku scored the winning goal in a 3-2 FA Cup fifth-round victory
David de Gea's late own goal earned Sunderland a 2-1 win over Manchester United on Saturday and a vital three points in their bid for Premier League survival.
A summary of Saturday's action in the Premier League.
Arsenal's defence of the trophy ended with something of a whimper as Mikel Arteta's side struggled with repeatedly sloppy defending.
IMAGES from the EPL matches played on Wednesday
Manchester United's Bruno Fernandes fired home a late penalty to rescue a point for the visitors in a lively 1-1 draw at Tottenham Hotspur in the Premier League on Friday.
Images from Sunday's Premier League action.
A summary of Saturday's UEFA World Cup qualifiers.
Chelsea kept up their pursuit of the Premier League's top three clubs with a 1-0 win away to London rivals Crystal Palace on Sunday, thanks to a strike by N'Golo Kante early in the second half.
"The best team won, we struggled from the beginning and we couldn't deal with their long balls. Usually, you press the ball to win it, but this was different. They defended so deep and so well," City coach Pep Guardiola told the BBC.
Images from Sunday's action in the English Premier League.
Images from the English Premier League matches played on Saturday.
Images from the English Premier League matches played on Wednesday night.
Liverpool blew a chance take a vice-like grip on the title race and Chelsea suffered their worst league defeat in 23 years.
IMAGES from the English Premier League matches played on Saturday
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.
News of all that's transpired on and off the football field.
Ayew strikes as Palace hold Southampton to 2-2 draw
Aaron Ramsey scored a hat-trick on Saturday as Arsenal thrashed Everton 5-1 in the Premier League at the Emirates with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
Joe Maguire was found guilty of repeated bodily harm, violence against public employees and attempted bribery. Sharman was found guilty of insult, repeated bodily harm and violence against public employees.
News of all that's transpired on and off the football field
Tottenham Hotspur missed the chance to move up to provisional fourth place in the Premier League after relegation-threatened Newcastle United held them to a 2-2 draw with a late equaliser from substitute Joe Willock at St James' Park on Sunday. Images from EPL matches played on Sunday.
Diego Costa was on target again as Chelsea overcame a defensive West Bromwich Albion 1-0 to return to the top of the Premier League with their ninth victory in a row on Sunday. The Spaniard's second-half strike sent the Blues three points clear of Arsenal, who had taken the overall lead on goals scored on Saturday after seeing off Stoke City 3-1 at the Emirates.
Paul Pogba repaid some of his world record transfer fee with two goals as Manchester United rediscovered their early-season shine, cruising to a 4-1 Europa League win over Fenerbahce to go top of their group on Thursday. Pogba scored a penalty and rifled United's third into the top corner. Anthony Martial also netted from the spot and Jesse Lingard fired home in the second half before former Old Trafford favourite Robin van Persie pulled one back for Fenerbahce. Inter Milan and AS Roma, though, had more testing evenings. Coach Frank de Boer breathed a sigh of relief when Inter survived an onslaught from Southampton to end a three-match losing streak with a 1-0 victory while Roma conceded twice late on to draw 3-3 at home to Austria Vienna.