The French club had a drastic overhaul of their team before the start of the new season following an influx of money from the Qatari Investment Authority.
"It is true that PSG has called many people and built a beautiful project," Alves told RMC.
"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]."
Alves joined Barca from Sevilla in 2008 for around £23m.