Frank Lampard warned Tammy Abraham to respect the "rules" after the Chelsea striker argued with Cesar Azpilicueta over who should take a penalty in Saturday's 4-0 thrashing of Crystal Palace.
Chelsea were 3-0 down in the first half, but came back strong to salvage a point thanks to goals from Mason Mount, Callum Hudson-Odoi and Tammy Abraham.
Victor Lindelof conceded a penalty and was brushed aside by Wilfried Zaha in the lead-up to Crystal Palace's third goal at Old Trafford last weekend.
Donny Van de Beek came off the bench to score on his Manchester United debut, but his side were already trailing 2-0 by then and went on to lose 3-1 in a dismal start to their Premier League campaign.
Arsenal move level with Everton and Crystal Palace on maximum points at the top of the table after two games, but were far from the standards they have set under Mikel Arteta.
Eberechi Eze became Roy Hodgson's most expensive signing in his time as Crystal Palace manager on Friday, joining for a reported 20 million pound from second-tier Queens Park Rangers.
Wolves climbed to sixth place, one point above Tottenham, and will be certain to qualify for the Europa League if they win at Chelsea in their last game of the season on Sunday.
Manchester United are level on points with fourth-placed Leicester, trailing them on goal difference, and one point behind third-placed Chelsea.
Ole Gunnar Solskjaer feels Manchester United have done well since the restart of the Premier League.
Wilfried Zaha posted on Twitter three screenshots of messages containing racial abuse from an Instagram account belonging to an Aston Villa fan.