The midfielder is expected to leave Parma following their relegation.
"I can absolutely confirm Fiorentina are interested," representative Dino Zampacorta told FirenzeViola.
“The Viola have been tracking the player for a very long time and there has been numerous contact with them even in the past.
“However, Fiorentina are not the only side asking for information on Mauri, as there's a lot of competition. Florence would without doubt be a welcome and suitable option.
“We do not intend to show a lack of respect to the Ducali, so with Mauri we'll decide only when the situation is clear."