Man City's blip turned into a crisis as Brighton scored twice in five minutes late on to beat the champions 2-1 - and inflict a fourth straight loss on Pep Guardiola.
West Ham were unable to make their second-half superiority count as underfire manager Julen Lopetegui watched his side held to a 0-0 draw by Everton.
Injury-hit Crystal Palace are just a point above the relegation zone after losing 2-0 to Fulham after goals from super-sub Harry Wilson and Emile Smith Rowe.
Brentford twice came from behind to stay unbeaten at home in the Premier League in a pulsating 3-2 win over Bournemouth at the Gtech Community Stadium.
Goals from Pablo Sarabia and Matheus Cunha secured a first win of the Premier League season for Wolves against Southampton.
Defeat at the San Siro extended a difficult run of results for Arsenal but what's going wrong for the Gunners so far this season?
The top stories and transfer rumours from Saturday's newspapers...
Sporting manager Ruben Amorim admits he had considered following sporting director Hugo Viana to Man City - but says he never had doubts about taking over at Man Utd.
Edu will serve a six-month period of gardening leave with assistant sporting director Jason Ayto stepping into the breach while Arsenal scout for a successor.
The Radar column looks at how the £115m Moises Caicedo is finally thriving for Chelsea, and Gabriel Martinelli's search for form at Arsenal.
We take a stats-based look at each Premier League club's most important player right now.
Andre Onana is confident Manchester United's squad boasts the quality and pragmatism to embrace incoming head coach Ruben Amorim's approach.
West Ham winger Mohammed Kudus has been banned for two additional games after his red card at Tottenham last month.
Fulham super-sub Harry Wilson scored two incredible goals in stoppage time to grab a sensational 2-1 comeback win over west London rivals Brentford.
Sky Sports' Peter Smith picks out the stats which highlight why Martin Odegaard's return to fitness is such big news for Arsenal.
The top stories and transfer rumours from Tuesday's newspapers...
The surprise resignation of sporting director Edu comes amid a difficult start to the season on the pitch for Arsenal.
Gary Neville is still backing Arsenal to win the Premier League and says their current blip could inspire them to end their 21-year wait for the title.
Man Utd players want Ruud van Nistelrooy to remain at the club when Ruben Amorim takes charge as their 'connector,' appreciating the way he has communicated with them.
Arsenal sporting director Edu has resigned from his position and agreed a deal in principle to take up a role with Nottingham Forest owner Evangelos Marinakis.