In the second match of the day, goals from Jairo Riedewald and Wilfried Zaha for Crystal Palace condemned promoted Fulham to their fifth defeat in six matches.
Tom Cairney pulled a goal back for 10-man Fulham in the final seconds but Roy Hodgson's side held on to win 2-1 and climb to fifth in the table, ahead of the evening games.
Palace are now up to 5th while Fulham remain bottom.
Champions Liverpool face Sheffield United later on Saturday in their first Premier League game without Virgil van Dijk, who suffered a knee injury against Everton last week that could rule him out for the rest of the season.
Jurgen Klopp's side, who won 1-0 away to Ajax in midweek, began their title defence in style but have dropped five points in their past two games.