Alves admits he would consider a future move to Paris.
"It is true that PSG has called many people and built a beautiful project," he told RMC on Thursday.
"This summer, they spoke to my representatives and consulted to see if they could do a transfer.
"But the possibility was very low because my price was very high and suddenly they turned to other players.
"As to whether I could play in Paris, you never know what the future holds, and I don't have to close doors. If one day, Barca do not want me anymore [then who knows]."