D'Amico was arrested for gambling in 1958 and 1968 and also for being a patron in an illegal card game in 1976. He also was involved in a fight at the corner of Oak Street and Rush Street, in Chicago, in 1978. He is related by marriage to Robert (Bobby the Boxer) Abbinatti by marriage who is a made man in the Chicago Outfit. D'Amico has been arrested twice for DUI's, once in 1983 and another time in 1989. In the 1983 DUI, D'Amico was charged with aggravated battery in Palatine, Illinois for biting off a police officers finger during the DUI stop. However, the charges was dropped.