Chelsea edged out rivals Arsenal in a five-goal thriller at Stamford Bridge, Harry Kane ended his August goal drought as Tottenham beat Fulham 3-1, while there were also wins for Leicester, Everton and Bournemouth.
Unai Emery's Arsenal fought back from two goals down as Henrikh Mkhitaryan and Alex Iwobi cancelled out strikes from Pedro and Alvaro Morata before half-time, but Marcos Alonso met substitute Eden Hazard's cross on 81 minutes to give Maurizio Sarri a winning home debut as manager.