Le 10 Sport says Barca have approached the player's management to assure him of their interest.
Should the Frenchman turn Barca down, they will move for Lacazette as an alternative. It's suggested the striker's versatility is attractive to Barca chiefs.
Just this week, Lacazette was asked about the rumours.
Speaking to Telefoot, Lacazette simply replied: "It is flattering."