Champions Manchester City and Liverpool have both been held to draws in the Premier League, leaving Arsenal still on top of the table ahead of their game at Manchester United.
Liverpool were frustrated by Frank Lampard's determined Everton in a goalless Merseyside derby on Saturday while City were held to a 1-1 draw at Steven Gerrard's Aston Villa, despite Erling Haaland scoring yet again.
Tottenham maintained their fast start to the season with Harry Kane sealing a 2-1 victory over Fulham, while Chelsea left it late as they came back from a goal down to beat West Ham 2-1 at Stamford Bridge.
Liverpool had 23 goal attempts but could find no way through at Goodison Park where both sides hit the woodwork and Everton were denied a winner by a VAR decision.
Jurgen Klopp's side have nine points from a possible 18 and find themselves six points behind leaders Arsenal and five behind City and Spurs.
Arsenal could go four points clear if they win Sunday's match at Old Trafford.
In a gripping Merseyside derby, Everton keeper Jordan Pickford made several fine saves and the hosts thought they had grabbed the lead when Conor Coady tapped in at the far post.
With pandemonium ensuing at Goodison, the goal was ruled out for offside after a long VAR review.
A cracking derby then ended with Mohamed Salah firing against the post in stoppage time.
Everton's 12-year wait for a win over Liverpool at Goodison goes on but manager Frank Lampard took plenty of positives from the draw.
"I thought we were brilliant. It's one of the best 0-0s you're likely to see," said the former England midfielder.
At Villa Park, Haaland notched his 10th goal in his sixth game as he put City head after the break, guiding in a superb deep cross from Kevin De Bruyne.
But Villa hit back when Jamaican winger Leon Bailey fired past Ederson with a sweet first-time shot.
Chelsea recovered with goals from substitutes Ben Chilwell and Kai Havertz to cancel out Michail Antonio's opener as they won their London derby with the Hammers.
But West Ham were left seething when an equaliser by Maxwel Cornet in the dying moments was chalked off after a VAR check from Australian official Jarred Gillett ruled Jarrod Bowen had fouled Chelsea keeper Edouard Mendy.
Newcastle also felt aggrieved as they had a goal chalked off following a VAR decision in a 0-0 home stalemate with Crystal Palace, their fourth draw in six games.
Ivan Toney was the day's star, scoring a stunning hat-trick for Brentford in a 5-2 mauling of Leeds.
Wolves claimed their first win of the season as they beat Southampton 1-0 with Daniel Podence on target just before halftime.
Nottingham Forest, who signed 21 new players in the transfer window for a combined 145 million pounds ($A245 million), including several on deadline day, squandered a 2-0 lead at home to Bournemouth to eventually lose 3-2 and fall into the bottom three.
For Spurs, Kane's 75th minute tap-in at home gave him his 188th EPL goal, taking him past Andy Cole into third place on the all-time scoring list in the Premier League era.