Alves joined Ligue 1 powerhouse PSG in 2017 but the 34-year-old refused to rule out a Barca comeback, despite the circumstances behind his departure.
"Barcelona is my home," he told Globo TV. "It's impossible to say that I wouldn't return.
"I would come back tomorrow if Barcelona were to call me."
Alves, who has helped PSG to Ligue 1 and Coupe de la Ligue glory this season as the French champions seek a domestic treble, added: "If I were to say that I didn't leave there feeling hurt then I'd be lying.
"I left hurt because I think I fought hard to create a great history at Barcelona. I left with 23 titles in eight years.
"I finished up giving them more great results and then they ended it without respecting my story.
"They wanted me to have a farewell and I told them no, because I consider that place my eternal home and when a place is considered your home you don't have to say goodbye.
"What's the point in a farewell if you're going to come back?"