The Brazilian right-back says he would consider a switch to one of the two Ligue 1 financial behemoths at the end of the season, though is very happy with the Blaugrana
Last summer the Brazilian confirmed that les Parisiennes enquired about his services, but a move was not possible at the time due to an exorbitant transfer fee demanded by Barca.
However, Alves has now stated that he would be open to leave the Catalan giants at the end of the campaign, should a new offer from Ligue 1 come his way.
"I am a Barca player and very happy here, but I never close the door to Paris or another club," the 30-year-old told Canal+.
"Paris are a very ambitious young club, with a great desire to claim a place in the world of football. They recruit great players to make something beautiful in football.
"They lack a little continuity but they are on the right track. Some media stars and other high quality players have joined already."
He also did not rule out a switch to Monaco, who have been linked with the likes of Radamel Falcao and Carlos Tevez since securing their return to France's top flight.
"I know there is a project similar to that of Paris," Alves added on Claudio Ranieri's side. "The door to my house is always open and I do not rule out anything."