The veteran signed a one-year deal at Stadio Artemio Franchi in the summer after being released by AC Milan.
Moreno Roggi told Radio Sportiva: "I was convinced that he would do well for Fiorentina, and so it has proved. They are a good team and a guy like him was never going to have difficulty adapting.
"For now there is to be no mention of a renewal. There have been no meeting set up.
"Ambrosini has often signed shot-term contracts, so we'll assess the situation at the end of the season."
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