Previous reports indicated that two players had to be pulled apart following the incident at United's Carrington training ground.
The bust-up was said to have occurred following the heavy 4-0 defeat to Brighton & Hove Albion on their penultimate matchday of the season.
According to the Daily Mirror, the players that were involved in the training ground incident have been named as Telles and Hannibal.
Despite coming face-to-face on the training ground, the pair featured in the starting lineup for Manchester United's 1-0 away defeat to Crystal Palace on Sunday.
Telles, who has been linked with a return to Porto, has scored one goal in 26 matches this season, while Hannibal broke into the first team this term, appearing in two Premier League games.