The Chile international is expected to continue his career at Camp Nou next season and fight it out with Marc-Andre ter Stegen for the No.1 jersey.
The Catalans have already secured the services of Germany international Marc-Andre ter Stegen from Borussia Monchengladbach as they prepare for life after Victor Valdes and Jose Pinto, who will both leave the club this summer, but they are keen to sign an additional shot stopper.
PHOTOS: USA vs. Azerbaijan | World Cup teams
Sporting director Andoni Zubizarreta sees the 31-year-old Bravo as a valuable addition and has already held opening talks with the Chile international over a summer move.
The former Colo Colo star is keen to make the step to a bigger club and Sociedad is ready to let go of its goalkeeper for the right price.
Bravo has a €30 million buy-out clause, but Barcelona is confident of getting its man for an initial fee of €9 million following Sociedad's promise to the goalkeeper that the club will cooperate if a big club comes in.
The Chilean joined Sociedad from Colo Colo in the summer of 2006 and has since made over 200 official appearances for the Basque side.
His current contract with Real runs until the summer of 2017.