The Daily Mail says the England youth international is widely recognised as one of the brightest young players in the country.
The 19-year-old has already scored three goals in five games so far this season and is viewed as a vital member of Marco Silva's plans to regain promotion back into the Premier League.
However, his performances have attracted huge attention from England and abroad leaving Fulham facing the prospect of losing the youngster.
Real Madrid are keeping close tabs on Carvalho, while a number of top 10 Premier League clubs are also interested.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!