Le 10 Sport says Barca management see Bernardo as a potential replacement for Antoine Griezmann.
While there's no immediate plan to sell Griezmann this summer, it's suggested should the current stand shift then Bernardo would be the priority to replace him.
Barca, after signing Braga whizkid Franciso Trincao, have grown closer to super agent Jorge Mendes, who also takes care of Bernardo, which would help negotiations.
Bernardo has battled for a regular start this season, though Barca chiefs believe he would thrive under their playing system. The midfielder's deal with City runs to 2025.