Mark Warburton (right) has banned Joey Barton from the Rangers training ground

The clash is said to have resulted in Barton, 34, being banned from Murray Park - Rangers’ training centre.

Rangers lost 5-1 to Celtic on Saturday in a game that saw Halliday replace Nico Kranjcar at half time.

Englishman Barton was embroiled in a heated exchange with Glaswegian Halliday on Tuesday.