Messi could move to Inter Miami after 2024 and reunite with former Barcelona teammate Sergio Busquets, whose contract with the Spanish club ends in 2023, according to Mundo Deportivo.
Messi has been with PSG since 2021.
The contract of the 35-year-old Argentine with the Parisian club is valid until the summer of 2023.
Messi this season in 19 matches in all competitions scored 12 goals and gave 14 assists.
Earlier it was reported that the president of PSG met with Messi's entourage in Qatar in order to extend the contract.