La Gazzetta dello Sport says Fulham are in talks over a deal for the fullback.
The Cottagers are turning to Pellegrini after being frustrated in attempts to re-sign Neco Williams from Liverpool.
Serie A new boys Monza have also asked about the 23-year-old's services, though Juve's price is deemed too steep.
Juve have informed Fulham they can sign Pellegrini for €15m.
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