The Spanish midfielder has lost his position as a starter in Hansi Flick's team.
The Catalan team had received interest in their player in the last few hours, but they will not be swayed.
Chelsea is willing to make a major investment this summer to strengthen their defense with a star signing from FC Barcelona.
Pedri, one of the standout players at Barcelona, could set course for England amid strong interest from Manchester City
The Dutch midfielder could leave the club in the summer due to the interest he has generated from several top teams.
The Blaugrana team intends to sell a star player to finance the signing of the Bournemouth center-back.