The incident happened when Kohli was batting during India's second innings and he survived a narrow run-out chance in the fifth over.
Kohli had hit a Mitchell Johnson delivery towards mid-off and ran to the other end to steal a single even as Murali Vijay, who was at the non-striker end, didn't move. Warner fielded the ball but his throw was poor.
After the incident, Brad Haddin started saying "It's all about you. It's all about you", while clapping his hands in Kohli's direction.
"That would have been a shame, Virat," Shane Watson was quoted as saying by Herald Sun.
On Sunday, Kohli had said that he was called a "spoilt brat" by the Australians and it brought the best out of him as he smashed a career-best 169-run knock.
Kohli again had a go at Johnson and apparently said something to him when he was walking off after being dismissed on Monday.
In the press conference later, Warner said "whatever happens in the field should stay on the field. It shouldn't be brought off the field.
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