Andrew McDonald has described the Indian's celebrations around Sam Konstas on day one at the SCG as "intimidating" after the furore following Usman Khawaja's dismissal.
India was frustrated when Khawaja appeared to be wasting time to avoid another over late in the day.
Konstas then confronted Bumrah with the umpire had to separate the two.
AS IT HAPPENED: Australia vs India fifth Test, day two
Khawaja was then gone on the last ball of the day, with India celebrating aggressively, in particular Kohli and Bumrah towards Konstas.
India celebrate around Sam Konstas on day one. Getty
After play on day two, McDonald was asked whether he spoke to Konstas after the incident.
"My conversation with him was around whether he was OK. Clearly, the way India celebrated that was quite intimidating," he told reporters.
"It's clearly within the laws of the game … there's been no charges laid but to have an opposition swarm the non-striker like that, we have a duty of care to make sure our player is OK and in a headspace to go out the next day and perform. That's all those conversations were."
Asked if he thought it went too far, McDonald was coy.
"It's clear that it was acceptable because there were no fines or punishments," he said.
"I'll leave that up to the ICC. Obviously, Andy Pycroft being the match referee and umpires out there, if they thought it was satisfactory I suppose that's the benchmark we're playing amongst."
The incident was the first time Konstas has antagonised the Indians after he copped a shoulder barge from Virat Kohli during his debut innings.
Indian fast bowler Prasidh Krishna didn't subscribe to the theory that Konstas has rattled his rivals.
"I don't think so, not yet," he said.
"We enjoy the way he plays the game and we also like to play the game aggressively … as a team, we want to tell them we're here and you can't take us for granted. We're all here, 11 of us, versus you."