Bafetimbi Gomis scored the winner as Swansea beat Manchester United 2-1 for the third time in a row.
Southampton earned their first three points of the Premier League season after beating 10-man Norwich 3-0 at St Mary's.
Manchester City have completed the signing of Belgium international Kevin De Bruyne from Wolfsburg.
Relive the action as Swansea beat Manchester United 2-1 at the Liberty Stadium. Watch on Sky Sports 1.
Chelsea's players need to "give themselves a slap around the face" after their poor start, says Gary Neville.
Can Kevin De Bruyne show Chelsea what they're missing at Manchester City? We take a look.
All the latest as Real Madrid reportedly look set to complete their £29m deal for Manchester United goalkeeper David de Gea.
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There have been just nine home wins this season - and stats show home advantage is on the decline...
Chelsea have made the second-worst start to a title defence in Premier League history.
What's happened to Harry Kane? We look at why the Spurs striker is struggling to score.
Jamie Carragher reflects on West Ham defeat and says Dejan Lovren must adopt a "defend first" approach.
Everton's John Stones continues to keep his focus despite the ongoing transfer talk, says Thierry Henry.
Man Utd have a "strong and secure" centre-back partnership in Chris Smalling and Daley Blind, says Jamie Carragher.
Gus Poyet is "disappointed" with Sunderland boss Dick Advocaat's criticism of the club's former transfer dealings.
The panel discuss Jose Mourinho's Chelsea after their poor start, and the likelihood of John Stones leaving Everton.
The Sunday Supplement panel say Chelsea's nightmare start could turn nasty, and that Jose Mourinho's blame-game is typical.
John Stones is "unlikely" to move to Chelsea following Everton's continued resilience to sell the defender, says Jonathan Northcroft.