I doubt that a deal to PSG is even close. They're just jumping on the fact that PSG was heavily linked in the past and Messi doesn't have a club. I also don't think they can afford him in regards to the FFP. They have several players who are earning over 200k a week. There is no way they can have a frontline of Mbappe, Neymar and Messi without breaking the FFP rules. Unless Mbappe gets sold, it isn't going to happen.... and Real Madrid doesn't have the money to sign him this summer.
There is no way Messi has made his mind up that quickly after been heartbroken last night. He'd want to take some time and consider his future from the best offers possible.