The Catalans have made the Paris Saint-Germain defender their top defensive target and are willing to pay up to 50 million euros to secure his signature in the summer.
Barcelona plans to strengthen its defense this summer and Marquinhos is the primary target, with the Catalans willing to pay up to 50 million euros ($56M) to bring him to Camp Nou.
The intermediary Giuliano Bertolucci and Luan Aoas, Marquinhos' brother, met with Barca representatives and set out the 21-year-old's salary demands of €4.5 million a year plus a €3 million in signing-on fee.
PSG does not want to sell Marquinhos and has twice refused to engage in talks with its European rivals, while the player and his girlfriend are happy and settled in Paris.
There is a feeling at the club, however, that the former Roma starlet will consider a move if he continues to play second fiddle to Thiago Silva and David Luiz.
Barcelona would like to add a second defender in addition to Marquinhos, who is also wanted by Real Madrid and Chelsea.
The shortlist includes Alessio Romagnoli of AC Milan, Valencia's Aymen Abdennour, Aymeric Laporte of Athletic Bilbao and Shakhtar Donetsk center back Yaroslav Rakitskiy.