Van Persie is reportedly unhappy under David Moyes at Old Trafford, and there are suggestions he may be sold as part of a major summer clear out.
And reports in Italy suggest Juventus would be keen to bring the 30-year-old to Serie A.
The Turin giants are long-term admirers of the former Arsenal forward, and believe he has at least a couple of seasons left playing at the top level.
Juve reckon van Persie could be available for a fee in the region of £18million, but remain concerned his wages could prove a stumbling block.
The Dutchman is on a reported £250k a week at Old Trafford.
That figure would seemingly rule Juventus out of the race for his signature, with mega-rich Chelsea and Monaco able to offer a contract similar to the one he is currently on at United.
The outcome on any deal could depend on the future of Radamel Falcao.
Monaco will only enter the market for van Persie if they are in need of a replacement for the Colombian, who has been consistently linked with a move to Chelsea.