The rivalry between the three schools has traditionally been non-conference ; it was only in 2004 that Miami moved to the Atlantic Coast Conference ( ACC ) , joining Florida State , which played its first season as a member of the ACC in 1992 . Prior to this move , Miami was in the Big East Conference , which it joined in 1991 . Before joining their respective conferences , both teams had been independent . Florida has been in their conference , the Southeastern Conference ( SEC ) , for much longer , having been one of its charter members in 1932
independent
NCAA Division I FBS independent schools
Florida Cup