The two singers and their entourages are said to have been involved in a brawl at New York City's W.i.P. club on Wednesday, June 13.
Brown first shed light on the incident by tweeting an image of himself with a gash on his chin.
The AP reports that some witnesses say they heard shots during the encounter, although no-one has stated that they saw a gun. Police are apparently looking into the claims.
The Game has publicly stated that the pair should call a truce, saying: "Chris Brown is like my little brother, man... and Drake is a cool dude... they just need to cut that out. It ain't worth it."
Brown has reportedly spoken to detectives about the incident. Drake has denied being involved in any wrongdoing.
A group known as WE MOBBIN DVD has claimed that it has "the whole fight on camera" and will be selling it on DVD.
Watch a preview of the apparent "fight" DVD below: