The Football Association could probe both Arsenal and Liverpool after a heated exchange of words broke out during their game at the Emirates Stadium on Monday morning.
Referee Michael Oliver spoke to coaches Mikel Arteta and Jurgen Klopp after the incident in the second half and then again later after the game.
“We are aware of an incident which occurred during the game between Arsenal and Liverpool,” an FA spokesman said.
“We are in dialogue with match officials and will review the details of the incident.”
Gunners shoot for victory over Reds | 01:47
The teams clashed after Oliver’s decision to award Arsenal a late penalty, with Klopp also strongly criticizing the call in his post-match press conference.
Klopp’s side hung on for a point until the 76th minute when Thiago Alcantara was punished for his challenge on Gabriel Jesus.
There was minimal contact from Thiago as Jesus went to ground in the Liverpool area but the penalty was awarded after a VAR check.
Bukayo Saka converted the kick to leave Liverpool languishing 14 points behind Premier League leaders Arsenal.
Klopp confronted referee Oliver on the pitch after the final whistle and made it clear he felt the incident did not merit a penalty.
“The situation around the penalty, of course, we should have cleared it up. Now I’ve seen it and I think you can imagine I don’t think it’s a clear penalty, it’s a very soft penalty,” Klopp told BBC Sport.
“I think this is a situation where the referee could have another look in real time.” Klopp’s frustration has been amplified as Liverpool have now won just two of their first eight league games in their worst start for 10 years.
Their latest sloppy loss was a far cry from the dynamic performances that took them close to winning the treble last season.
‘Amazing’ Ronaldo scores 700! | 01:01
But Klopp was convinced Liverpool deserved something from the game after controlling much of the first half.
Darwin Nunez and then Roberto Firmino equalized before Saka’s winner and Klopp said: “In general it was a good away game against a good team. We caused them a lot of problems but we stay here without points.
“I saw a team with the right attitude and put up a real fight. A few elements stood against us, but we’re not blind, we see we could have done better in a few moments.
“I think the match is a draw, but today we have nothing.”