Stefano Pioli is expected to be moved on from Milan this summer.
And La Gazzetta dello Sport says Milan welcomes the news that De Zerbi has left Brighton.
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The Italian giants now plan to open discussions with De Zerbi in the next few days.
De Zerbi has previously expressed that Milan, which he has supported since childhood, is a special club for him. He is also a former Milan youth teamer.
But it is still Paulo Fonseca, of Lille, who is best placed to land the Milan job at the moment.