Diogo Jota grabbed the winner as Liverpool ground out a 2-1 victory over West Ham United at Anfield to take the lead at the top of the Premier League on Sunday (NZ time).
Defending champions Liverpool have 16 points from seven games, three points more than Everton who play at Newcastle United on Monday.
West Ham took a 10th-minute lead through Pablo Fornals, with the Spanish midfielder driving home after a poor header out from Joe Gomez landed straight at his feet.
Liverpool drew level just before the break when Mohamed Salah was fouled in the area by a clumsy challenge from Arthur Masuaku and the Egyptian stepped up to dispatch the spot kick.
Jota thought he had put Liverpool in front when he drilled into an empty net after Lukasz Fabianski had blocked a Sadio Mane drive but the goal was ruled out after VAR review because Mane had committed a foul while sliding in on the keeper.
Yet Jota did get the winner when he was put through by a clever pass into the box from substitute Xherdan Shaqiri and the Portuguese made no mistake with his third goal in as many home games for the club.
With the win, Liverpool have equalled their club record of 63 matches unbeaten at home in the league.
Earlier, Chris Wood's Burnley have slipped to the bottom of the Premier League standing after losing to Chelsea 3-0.
Hakim Ziyech shined and Kurt Zouma and Timo Werner scored the goals as the win moved the London club up to fourth place in the table.
Burnley, who are without a win and have just a single point from their opening six games, struggled to cause any real problems for the Chelsea defence and manager Sean Dyche threw on an extra striker at the break with Jay Rodriguez coming on.
While that gave Burnley more of an attacking presence, Chelsea comfortably dealt with early second-half pressure from the Clarets.
Burnley's winless start has them stuck at the bottom of the table after their opening six games but Dyche said there is no question of his team panicking.
"I don't panic in general, to be honest, I'm not that sort of fella," says Dyche. "I don't think panicking will change anything.
"I think structure, organisation and hard work, that may change things."
Elsewhere, Manchester City beat Sheffield United 1-0 at Bramall Lane with a Kyle Walker goal separating the two teams as the home side's winless start to the Premier League season extended to seven games.
Walker marked his 100th league appearance for City when he scored from outside the box with a low drive into the bottom corner that skidded across the wet turf and beat the outstretched hand of Blades goalkeeper Aaron Ramsdale.
But despite their domination, City could not make their numerous chances count while United also had a brief period where they created opportunities in the second half but failed to test Ederson in goal.
The result moved City up to seventh in the standings, two points behind league leaders Everton, with United languishing in 19th with just one point.