Joan Laporta hinted that Barcelona could potentially bring back Lionel Messi and Andres Iniesta.
Messi left on a free transfer in the summer to join Paris Saint-Germain.
"I can't rule it out," Laporta said at Alves' presentation when asked whether Messi and Iniesta could follow the defender back to the club in the future.
"It's happened with Dani Alves, who has seen the situation and wanted to help. We're grateful for the financial sacrifice he's made. He wants to help us turn things around.
"Leo and Andres are two spectacular players. I can't predict the future. They are Barca greats and who made this club what it is and they will always be present, but they're players with contracts with other clubs. That must be respected, but in life you never know."
Iniesta, 37, joined Japanese side Vissel Kobe in 2018.