Argentina lodged an official complaint on Sunday night after Contepomi, their head coach, claimed he had been shoved and told to "f*** off" by Curry in the aftermath of England's 27-23 victory at Twickenham.
Contepomi also accused the British and Irish Lions flanker of being a "bully".
Six Nations oversees the running of the autumn internationals, including its disciplinary processes, and it has requested England's view of the bust up.
It is hoped that all the information will be collated by Tuesday morning (GMT), at which point it can be decided if there are grounds for an inquiry on the basis that the game has been brought into disrepute.
The initial flashpoint was Curry's tackle on Juan Cruz Mallia in the 75th minute that forced the full-back to leave the field. Argentina confirmed on Monday that he has suffered an ACL knee injury.
Curry's challenge was late and was punished with a penalty but not referred to the television match official. The Sale backrow has avoided a citing because the offence does not meet the red card threshold.
With Mallia off the field, it meant the Pumas had to close out a desperately tight game with 14 men.
Contepomi left the coaching box to protest against the tackle, and at the final whistle a brawl broke out between the teams that then extended to the flashpoint with Curry.
"Curry, let me say, it is probably part of his nature to bully people. He came into the tunnel and he gave me a little smack. He is 27, strong. I am 48," Contepomi said.
"I was standing there. He was coming to say 'hi' to one of our coaches but we were upset because he was reckless and broke our player's knee.
"When he came I said 'mate, you broke his knee', he said 'f**k off' and pushed me. Maybe that's the way he is. I don't know him. I'm not happy with the situation.
"After breaking someone's knee you need to be at least humble enough and respectful to say sorry I did something wrong. But he went the opposite."
Contepomi added that the tunnel fracas was caught on camera and that England team manager Richard Hill was present. It is understood the RFU is willing to provide the footage, if required.
England head coach Steve Borthwick and centre Henry Slade rejected Argentina's description of Curry as a "bully" with Borthwick insisting he had no knowledge of what took place in the tunnel.
