The Brazilian parted ways with Chinese Super League outfit Guangzhou Evergrande recently, paving the way for the player to move to another club.
Paulinho only spent one season at the Camp Nou and managed to pick up a LaLiga and Copa del Rey titles during the 2017/2018 campaign before he moved to China.
"Barca are a team I know well," Paulinho told Mundo Deportivo.
"I spent an unforgettable year there, both at the club and in the city, and we won the League and the Copa del Rey. If I had another chance, and it was a good thing for both me and my family, I would be delighted (to return).
"For me, the issue of money or the duration of the contract wouldn't be a problem, it never has been, and less so if Barca is the team that calls you.
"I already demonstrated this when I left Guangzhou (by going) there (and) charging much less than I received in China.
"I've never put money ahead of my career, so that wouldn't be a problem to go back there. Also, this time the club wouldn't have to pay a transfer [fee] for me."