The new Italy cap has been linked with Inter Milan, despite his family's AC Milan background.
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Asked if Inter counterpart Beppe Marotta had been in touch, Galliani told reporters today: "I've never spoken to anyone about Maldini. I speak to Daniel every day, also because he has a small problem with his shoulder, but he should be able to do it by Sunday.
"Inter never made a request to us, no one ever spoke to us. It doesn't exist: I don't think so, I don't know... Anyway, I'm a Milan fan so leave me alone."
Asked about reports of Monza being up for sale, Galliani added: "No, nothing new. But I'm not following this story: I've already said that I'm the object, not the subject. In any case, there's no offer, let's move on."