United held away to Southampton.
Southampton held Manchester United to a 1-1 draw at St Mary's yesterday afternoon.
A deflected Che Adams shot gave the hosts the lead on the half-hour mark, before Mason Greenwood equalised just after the half time break.
Romelu Lukaku was on target for Chelsea on his debut, in their 2-0 win away to Arsenal.
Reece James got the second goal for Chelsea, who made it 2 wins from 2.
Tottenham also have six points thanks to a 1-0 away to Wolves - Dele Alli scored a first half penalty, while Harry Kane came off the bench in the second half for his first appearance of the season.
Tonight, West Ham take on Leicester City at the London Stadium from 8.
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