The two players were sent to the dressing room, where they continued their battle, and the club have promised to act decisively to punish the combatantsGalatasaray have confirmed that Felipe Melo and Albert Riera were involved in an altercation on Thursday, and have pledged to discipline both players.
The duo confronted each other during a training session in preparation for Sunday's trip to Manisaspor.
The Istanbul club have now announced that they will deal with the matter internally and notify the public in due course.
"As the football team trained today an incident between Felipe Melo and Albert Riera occurred and the duo were sent to the changing room by Fatih Terim," the statement began.
"In the dressing room, tension between the two continued.
"The club has a policy of dealing with disciplinary matters internally, and will act decisively, and promptly declare any sanctions."
Galatasaray currently hold a nine-point lead at the top of the Super Lig, and are heavy favourites to win the title at the completion of the play-off stage.