Liverpool earned a 3-1 win over Norwich at Anfield on Saturday courtesy of goals from Sadio Mane, Mohammed Salah, and Luis Diaz.
The first half ended goalless before Milot Rashica gave the visitors a stunning lead just after the restart.
Mane restored parity for the hosts followed by a cool finish from Mohammed Salah, new signing continued his impressive start to life at Anfield with the third goal to hand Liverpool the maximum points.
Chelsea snatched a late 1-0 win over Crystal Palace thanks to a last-minute goal from Hakim Ziyech.
The former Ajax star has now scored in three consecutive Premier League matches for Chelsea.
Arsenal earned a 2-1 win over Brentford thanks to goals from Emile Smith Rowe and Bukayo Saka, Christian Norgaard scored a late consolation goal for Brentford.
Southampton piled more misery on Everton with a 2-0 win courtesy of goals by Stuart Armstrong and Shane Long.
Burnley earned a stunning 3-0 win over Brighton away from home to boost their relegation survival hopes.
Newcastle and West Ham played out a 1-1 draw.