The newly-capped Senegal defender is being tracked by Manchester United.
Sport says Barcelona will strongly consider selling the centre-back this summer.
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The giants are in need of money to sign new players - and they'd prefer to sell Faye while his value is still high.
If the centre-back is sold this summer, however, the Spanish giants will try to include a buy-back clause in the transfer.
Barca will demand 25m to sell the youngster.