New head coach Xavi recently struck a deal to bring former team-mate Alves back to, stressing the need for more experience to help him rebuild the club and get Barcelona back on track again.
Since Alves' return, the rumour mill has gone wild with the idea of a return for both Messi and Iniesta. The former is obviously a huge part of Barcelona's history, while the latter spent years as Xavi's midfield partner-in-crime and is still plying his trade in Japan with Vissel Kobe.
Laporta was asked about moves for the pair, making a point of leaving the door open to both.
"I can't rule it out," Laporta said (via ESPN) during Alves' presentation. "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.