The Scottish Sun on Sunday reports that Bridges, 29, was in The Rock, in the city’s Hyndland area, when an argument broke out.
Bridges was having dinner with friends before the confrontation, where angry words were exchanged, flared up.
The comedian’s group was asked to leave the bar, which management say he has now been barred from.
Bridges later chased after the two men to another pub in the West End, Cottiers.
Police later arrived at The Rock to attend to the incident, but found no disturbance and ended up dealing with a report of a stolen phone.
Bridges refused to comment on the incident.