Totti scored his side’s second and third goals, either side of efforts from Leandro Castan and Pablo Osvaldo, to help them to win 4-2 and move up to fifth in the league.
“Fiorentina are a good team who play football and allow you to play football too,” said Roma coach Zdenek Zeman.
“We’ve always looked to play this way, it’s just that in the past we’ve not taken our chances and made mistakes. We’re looking to catch up on the teams in front of us and there are a lot of them.”