Arsene Wenger and Ronald Koeman will not face an FA misconduct charge following a post-match confrontation at the Emirates.
Arsenal boss Wenger and Southampton counterpart Koeman shook hands at the full-time whistle following Tuesday's goalless draw in which the Gunners dominated but failed to beat goalkeeper Fraser Forster.
But the pair then clashed when Wenger approached the officials.
The Arsenal boss is understood to have shouted at referee Lee Mason: "It's always the same with you."
Koeman saw his opposite number confront the referee and said to him: "No, it's always the same with you."
Koeman added: "You had 10 chances to score and didn't take any of them, instead you take it out on [the officials]."
Neither manager will face any further disciplinary action for the incident.
The draw leaves Arsenal five points off Premier League leaders Leicester with 14 games left to play in the league this season and Wenger admitted his side's poor finishing was to blame for their failure to see off Southampton.
"The chances created were good but our finishing was poor and at the end of the day we paid for that," Wenger said.
"We cannot fault our focus, desire and energy levels, but when you create the quality of chances we did tonight you have to win the game and that's what we didn't do.
"The only thing you could say was their goalkeeper had a great performance.
"It was just bad finishing, we had the chances and at the moment we have played three games without scoring, but not without creating chances, and you go through patches like that."