West Ham United players Matthew Upson and Craig Bellamy reportedly clashed after Saturday's 4-1 victory over Blackburn Rovers.
The Sun says it was the normally quiet Upson who became involved in a fierce exchange with Bellamy in the dressing room after Saturday's win.
That followed a furious row between Curbishley and club captain Lucas Neill, the Aussie defender snapping when Curbs laid into his side for almost throwing away a 2-0 lead.
Neill, 30, was convinced the team had given fans great value for money in a pulsating 4-1 win and did not deserve criticism.