Television journalist Jota Jordi broke the story on El Chiringuito de Jugones, saying: "There's a player whose name has been circulating strongly in the Barça offices for the past couple of days, and he's a player who knows Barça well, who came through the Barça youth academy, and who has already said on occasion that if he came to Barça, he wouldn't hesitate.
"They're talking about Cucurella. It's been a couple of days since they started talking about Cucurella in the offices, and it seems to me that it's a very, very serious possibility."
Cucurella, 27, is a product of Barcelona's La Masia academy and was sold to Getafe in 2020 before Brighton and Hove Albion paid the Spanish club €15 million for him two years later.
Chelsea then acquired him from Brighton for £62 million in 2022, the second-most expensive sale in the Seagulls' history at that point.
He has established himself as Chelsea's first-choice left-back under the various managers that have come and gone at Stamford Bridge, making 38 appearances this season.
His contract at Chelsea runs until June 2028, meaning any move would require a substantial fee that Barcelona currently cannot comfortably afford.
The interest is driven in part by dissatisfaction with Alejandro Balde's form and consistency on the left side of Barcelona's defence. Whether the club's financial situation allows them to convert that interest into a firm bid before the summer window closes remains the central question.