Liverpool went top of the table with a 4-0 thrashing at Bournemouth before Manchester City were beaten by Chelsea.
Manchester United also earned a much-needed home win while Arsenal and Tottenham also registered victories.
Catch up with all the highlights from Saturday's eight Premier League matches here.
Chelsea 2 Man City 0
Bournemouth 0 Liverpool 4
Leicester 0 Tottenham 2
Arsenal 1 Huddersfield 0
Man Utd 4 Fulham 1
Burnley 1 Brighton 0
Cardiff 1 Southampton 0
West Ham 3 Palace 2
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