Marouane Chamakh and Dean Moxey reportedly had to be pulled apart by their Crystal Palace teammates at the weekend.
The alleged confrontation is said to have taken place following Palace's 2-0 defeat at Southampton.
The pair were seen to have had a heated exchange of views on the pitch and it carried on in the away dressing room at the St Mary's Stadium, according to the Daily Mail.
No reason has been given as what led to the incident, but Chamakh was cautioned in the first half for diving inside the penalty area, despite having opened up a goalscoring opportunity for himself.
The Eagles are currently 19th in the Premier League standings, having collected just three points from their first six matches.