Liverpool swept aside a feeble Arsenal at Anfield, winning 4-0 to make it seven Premier League points from the first nine available.
Arsenal were rarely in the match as they crumbled to goals from Roberto Firmino, Sadio Mane, and Daniel Sturridge.
A second loss in a row for Arsenal leaves them with just three points from their opening three games and Arsene Wenger with some serious issues to address during the international break.
Goals from Cesc Fabregas and Alvaro Morata saw Chelsea run out 2-0 winners against Everton at Stamford Bridge.
The Premier League champions started their title defence in disarray, losing 3-2 to Burnley, but have since recovered to record impressive victories against Tottenham and now Everton.
Fabregas fired Chelsea ahead in the 27th minute, sidefooting past Everton goalkeeper Jordan Pickford after Alvaro Morata had created the chance.
Then, with five minutes remaining until the break, Chelsea added a second as Morata headed Cesar Azpilicueta’s perfect cross beyond Pickford.
Tottenham‘s winless run at Wembley continued as they were held to a dramatic 1-1 draw by Burnley.
Spurs took the lead through Dele Alli’s second-half strike.
But Burnley new boy Chris Wood scored in the second minute of added time to claim a point for the Clarets.
Substitute Peter Crouch took advantage of a terrible defensive mix-up to earn Stoke a 1-1 Premier League draw at West Brom.
The 36-year-old was gifted the easiest of chances in the 77th minute when Baggies defender Ahmed Hegazi seemed to fail to heed a call from Ben Foster and sliced his clearance almost out of his goalkeeper’s hands.
It was a comical way for the home side to concede their first league goal of the season, and one which had not looked like coming as Tony Pulis’ men kept their opponents at arm’s length, with Gareth Barry typically effective in his holding midfield role.
Jay Rodriguez’s first league goal for West Brom had earlier looked like maintaining their 100 percent start to the season, the summer signing from Southampton heading home smartly in the 61st minute to break the deadlock.