Cucurella, 23, was impressive on his debut season last term following his £15.4m arrival from La Liga outfit Getafe.
Brighton are keen to keep their star man and are said to be holding out for north of £50m for the former Barcelona youth team player.
And it appears a move back to Barcelona would be Cucurella’s dream option.
“I’ve been there for many years at Barca,” said Cucurella last November.
“That it’s my home and my wife’s, who is from Barcelona.
“I have a thorn in my side because I made my debut in the first team, but I was never able to play at Camp Nou. I’s something I’d like to do before I leave football.”
Check out the latest Premier League transfer speculation below...
1. Toffees lead Zinchenko chase
Everton are ahead of West Ham in the race to sign Manchester City star Oleksandr Zinchenko. (Goal)
2. Liverpool agree to Minamino sale
Liverpool have agreed to sell Japan international Takumi Minamino to Monaco for £15.5m. (Various)
3. Chelsea plot Clauss swoop
Chelsea are keeping tabs on France international Jonathan Clauss as they believe he could be a suitable replacement for Cesar Azpilicueta. The RC Lens player could be available for around £10m. (Goal)
4. Toon keen on Adarabioyo
Newcastle United are interested in Fulham defender Tosin Adarabioyo. (Mirror)