Becks is due to return to Los Angeles Galaxy in March when his loan deal ends.
Milan vice president Adriano Galliani confirmed: “Beckham’s lawyers are talking to the LA Galaxy who are the rightful owners of his registration.
“If they show themselves to be ready to look at a deal, we would be really happy to do so.
“At the moment there’s neither optimism nor pessimism.
“The player belongs to Galaxy. We hope they decide to release him but if they don’t change their minds the player is theirs.
“We are looking to get him either on loan until the end of the season or on a permanent basis.
“Otherwise, with the greatest regret from everyone – starting with me – Beckham will have to go.”
Galliani added: “Players can make their choices but their clubs can refuse their wishes.
“Moreover, the Los Angeles Galaxy have always been very nice to us and have behaved in a very gentlemanly manner.
“In any case at this moment there are no dealings and we haven’t made an offer, but Beckham’s lawyers are talking with Los Angeles.
“There is time until March 8 to get us round a table and close a possible deal.”