Liverpool won a tight match against Crystal Palace 1-0 on Saturday, putting them in first place of the league until after the international break.
Thanks to a first-half goal by Diogo Jota, the Reds came away victorious at Selhurst Park.
Arne Slot's squad has accumulated 18 points after 7 games.
Manchester City defeated Fulham 3-2 at home thanks to goals from Mateo Kovacic either side of halftime.
Thanks to the victory, the Premier League winners maintained their position in second place, one goal ahead of Arsenal.
After falling behind 1-0, the Gunners rallied to beat Southampton 3-1 at the Emirates Stadium.
Thanks for reading: English Premier League: Arsenal and Manchester City defeat Liverpool, keeping Liverpool atop the league