With only four games to go until the end of the season, Roma are yet to appoint their next head coach.
Recent rumors suggest Roma have been eyeing Ajax coach Francesco Farioli.
According to La Repubblica, there was contact between Ranieri and the 36-year-old coach.
The meeting ended with nothing being done because the former Nice coach is waiting for a call from the Premier League.
Roma remains vigilant about Stefano Pioli, who is at odds with Al Nassr after being eliminated from the Asian Champions League.
Meanwhile, Fabregas is further away, inclined to stay on the Como bench.
