The Old Lady are open to a deal, but would be looking to land either Van Persie, Gael Clichy and Bacary Sagna as part of the deal.
Melo joined Juventus from Fiorentina in a players plus cash deal worth £21million last summer, but has failed to impress in Turin.
Arsenal boss Arsene Wenger confirmed on Thursday that he is still keeping tabs on Melo, who he treid to sign last summer.