Spanish striker Michu hit his fourth goal in three league games but Swansea City missed the chance to top the fledgling Premier League standings after the Welsh side were held 2-2 at home by Sunderland on Saturday.
Everton also lost their perfect record after goals from Shane Long and Gareth McAuley secured a 2-0 victory for West Bromwich Albion at The Hawthorns.
Chelsea, who are not in league action this weekend, have a maximum nine points, followed by Swansea and West Brom on seven.
New Tottenham Hotspur signing Moussa Dembele came off the bench to score on his debut but coach Andre Villas-Boas was left waiting for his first win in charge after Robert Snodgrass scored five minutes from time to earn Norwich City a 1-1 draw at White Hart Lane.
Striker Andy Carroll enjoyed a bitter sweet debut for West Ham United after joining on loan from Liverpool, helping set up a first-minute goal in a 3-0 demolition of Fulham before suffering a second-half hamstring injury that could sideline him from England's opening two 2014 World Cup qualifiers.
Wigan Athletic twice led at home to Stoke City but had to settle for a 2-2 draw.
Meanwhile, Man City have bought Javi Garcia from Benfica.
The 25-year-old is expected to fill the gap left by Nigel De Jong, who joined AC Milan earlier in the day, although he can also play in the centre of the defence.
The Spaniard was a regular at Benfica after arriving from Real Madrid in 2009, scoring six times in 73 appearances for the Portuguese club.
Garcia, who has one cap for Spain, will wear the number 14 shirt at City.
Photo: Gareth McAuley of West Brom is congratulated after he scores the second goal during the Premier League match against Everton at The Hawthorns on Saturday (Ross Kinnaird/Getty Images)