Spanish outlet Don Balon say the Colombian, who is on a three-year-loan at Juventus, wants to move to Spain and would welcome and offer from the Catalans with open arms.
Barca are looking for a new right-sided player with Aleix Vidal increasingly likely to be sold either this winter or at the end of the season.
“Cudrado has continued to thrive in Italy, after earning a move to Chelsea”
Luis Enrique has had a number of doors closed in his face and considers Cuadrado to be attainable.
Arsenal’s Hector Bellerin looks set to pen a new deal at The Emirates and was his first choice.
Valencia’s Joao Cancelo is too expensive and Cuadrado would apparently be relatively cheap with the Blues keen to cash in.
What remains to be seen is what clauses lie in the deal that took Cuadrado to Turin.
Don Balon do not specify how much Cuadrado might cost or if Barca would have to compensate Juventus to terminate his loan early.
What they do make clear is that Cuadrado would be extremely keen on the move after flopping spectacularly in England.
Cudrado has continued to thrive in Italy, after earning a move to Chelsea from Fiorentina, back on loan at Juventus.