The forward scored 14 Premier League goals last season during a brilliant season for the club and still has three years to run on his contract at Craven Cottage.
Mitrovic is thought to be open to the idea of a move to Saudi Arabia but Fulham insist their talisman will not be sold this summer.
Manager Marco Silva has also attracted interest from the Saudi Pro League but his long-term future at the club is uncertain.
Silva wants further investment in the squad who finished tenth last season and is eager to keep key players, with Joao Palhinha a target for London rivals West Ham.
Fulham are on the lookout for defensive signings with Benfica defender Morato and Fiorentina centre-back Igor both considered targets.
The Saudi Arabian side have already signed Ruben Neves and Kalidou Koulibaly, while they are also reportedly close to signing Mitrovic’s international teammate, Sergej Milinković-Savić.