Yildiz has performed well for Juventus this season, scoring eight goals and providing five assists in 44 competitive matches.
He has a contract with Juventus until 2029, which means Chelsea would need to negotiate a transfer with the Italian team.
Several top European clubs are also interested in Yildiz, but Chelsea is one of the first to make contact with Juventus.
Yildiz joined Juventus in 2022 from Bayern Munich, and his performances have caught the attention of many teams.