The La Liga giants endured a chaotic transfer window this summer, which saw the departures of key figures including Lionel Messi and Antoine Griezmann.
Barca remain in financial turmoil, which has seen the likes of Gerard Pique, Sergio Busquets and Jordi Alba take significant wage cuts to reduce the club's wage bill.
However, Marca reports that Barcelona are hoping to agree new contracts with Fati, Pedri, Dembele and Araujo, who they believe are four key players for the club's future.
Fati, Pedri and Dembele have entered the final 12 months of their contracts, while Araujo's deal expires in June 2024.
It is understood that Dembele could be the first player to sign a new deal, with the French winger close to agreeing a three-year extension to stay at Camp Nou.