Kelly moved to Juve On-Loan from Newcastle in January before he was permanently signed at the end of the season.
However, Juve is willing to sell on the defender for a quick profit.
And Il Corriere Dello Sport says that Palace is in contact with Juve this week about a deal for Kelly.
Palace see Kelly as a replacement for Marc Guehi, who is expected to be sold to Liverpool after the second leg of their Europa Conference League play-off second leg in Fredrikstad on Thursday.