According to Le Parisian and RMC Sport, Messi will meet with PSG president Nasser Al-Khelaifi and other top club officials when he returns from the World Cup.
After the epic match ended 3-3 in extra time, he inspired Argentina to a penalty shootout victory over France in the World Cup final on Sunday.
Messi, who was named tournament MVP, scored twice in the game, while PSG teammate Kylian Mbappe scored three times for France.