Torrisi joins l'OM as Ba goes
The Stade Velodrome outfit turned to the experienced Italian, after previously considering the likes of Laurent Charvet and Abel Xavier as defensive recruits.
After agreeing a loan move from Parma, the former Atletico Madrid man is available for selection against Nantes.
The French winger had been tipped to join an English club by l'OM supremo Bernard Tapie, but he has instead headed back to Milan.
An agreement was reached between the two clubs ahead of the transfer deadline, even though the loan deal was due to run until June.
Ba is under contract at Giuseppe Meazza until 2003, but a move to The Premiership cannot be discounted.