Juventus and Inter Milan have also expressed interest in the forward with the latter said to have met with his agent this week.
The 20-year-old has just six months remaining on his deal at United and no fresh terms have been agreed.
Juventus and Inter are both looking to strike a pre-agreement with the player in effort to secure his services for free in the summer, and now Tuttosport are reporting that Napoli are also ready to make a proposal to him.
The report also claims that Chong is keen on the idea of playing in Italy.
The young forward has been given first-team opportunities by Ole Gunnar Solskjaer this season, making seven appearances in all competitions.
But, Chong is understood to want more regular minutes, something which Inter have promised to his agent.
United rate the Dutchman highly but it remains to be seen if they are working on extending his contract or not.
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