TMW says the Frenchman is being discussed at Milan for the general manager's position.
Comolli is currently president of Toulouse, which are owned by RedBird - and count on Milan president Gerry Cardinale as a shareholder.
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If he was to arrive, Giorgio Furlani would move to another role within the club.
Interestingly, it was through RedBird and Billy Beane that Comolli was hired as technical director at Liverpool. Baseball icon Beane is a fan of the Frenchman.