The Dutch midfielder was snapped up by the Blues from Vitesse Arnhem last summer, but an unfortunate knee injury early into his time in west London ended his debut season before it ever had chance to get going.
And with Cesc Fabregas now the main creative force in the centre of the pitch for Chelsea, Van Ginkel’s first-team opportunities appear to be bleak.
This has alerted Milan, who are rumoured to be eyeing a move with the £16m from the sale of Mario Balotelli to Liverpool burning a hole in their pocket.
Napoli also want the 21-year-old, who is now ready to sit down with Mourinho to establish whether or not he has a future at the club.
Chelsea are understood to be keen on a loan move as they continue to assess his abilities, and a switch to an English team so he can adapt to Premier League football is their preference.