MILAN, Jan 16 (Reuters) - Three players were sent off and 10 booked as AS Roma snatched a 1-0 extra-time win at unlucky Fiorentina in a fiery Italian Cup tie which ended amid ugly scenes on Wednesday. Mattia Destro scored the winner in the seventh minute of extra-time while Fiorentina hit the woodwork three times in a match marred by a brawl centered around Fiorentina's Juan Cuadrado and Roma's Dodo.