A picture from the day showed Kohli, 36, entering Konstas as the Australian surrounded the Indian bowlers in the ground.
Kohli appeared to change direction to approach Konstas, who was heading down the pitch to speak to his opening batting partner Khawaja.
Speaking to host broadcaster Seven Network, former Australian captain Ricky Ponting says Kohli was probably responsible.
“That man [Kohli] There may be some questions to answer,” Ponting said.
“When you bat outside, the batsman owns the wicket. The crease belongs to him. Especially between overs like this.”
Konstas described the incident at the end of the day, saying: “I was just making my gloves and I think he accidentally hit me. But that’s just cricket, stress.”
The International Cricket Council can suspend players for “inappropriate physical contact” if deemed serious enough, although it is not yet clear whether any players will face further action.
The incident summed up what was set to be a torturous day for India, who were frustrated as Australia’s top order collectively found form.
But a burst of late wickets, led by the indomitable Bumrah, pulled the visitors back into the game.
Lebuschgan looked well to reach three figures before charging off spinner Washington Sundar, recalled in place of Shubman Gill, and slotted the ball straight to Kohli at mid-off.
Travis Head, who has scored two centuries in his last three innings, departed for a duck after shouldering a ball from Bumrah that bounced back and clipped the top of his off-stump.
After two overs, Marsh tried a heave across the line but could only reach Kerry for Bumrah’s third wicket of the day and 24th of the series.
Depp then made the most of a late burst with the new ball with a beauty that fanned Carey’s edge.