Mario Gomez scored twice and Juan Cuadrado converted from 12 yards as Fiorentina saw off the resistance of Atalanta to progress to the quarter-finals of the Coppa Italia.
Rolando Bianchi reduced the arrears shortly before the interval with an unstoppable curling effort into the bottom corner but there was to be no second-half comeback for the visitors.
Alessandro Diamanti made his Viola bow as a late substitute while Marcos Alonso saw red for a second booking.
A trip to the Stadio Olimpico now awaits, with Roma playing host on Tuesday 3 February.
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