The Daily Star says Juve are plotting a £10m swoop for Van Persie.
The Champions League runners-up are bracing themselves for the loss of Carlos Tevez and want Van Persie to replace him.
Tevez is expected to leave the Italian champions this summer following a successful spell that has seen him help them win back-to-back Serie A titles.
Tevez is a target of Paris St-Germain but is also mulling over a return to Argentina to see out his career with Boca Juniors.
Now Juve managing director Giuseppe Moratta has set his sights on luring unsettled Van Persie to Italy.