According to Marca, Paris-Saint Germain chief Leonardo has held talks with the Argentine’s representatives, while Neymar and Di María have joined in trying to convince him to make a move to the French capital.
While Neymar seeks to reunite with his former Barcelona teammate, Argentine international Angel di Maria is also trying to persuade his compatriot to make the Paris switch.
Messi had demanded to leave on a free transfer, as a clause in his contract permits it at the end of every season, however, Barcelona remain firm on their £630million asking price.
The 33-year-old has also been linked with a sensational move to the Premier League, with Manchester City reportedly front-runners to his signature.
Jamie Carragher revealed he would like to see the Argentine playing in the Premier League and believes Manchester City is the only Premier League capable of landing him.
Asked if Messi move to the Premier League, Carragher said: “I hope so, I would love to see Messi in the Premier League.
“I want to watch him, I want to analyse him. The obvious place, the only place he can really go is Manchester City, with the history he’s got with the manager and the financial clout the club have got.”
He added: “But how you get that deal across the line with the figures involved, I’m not too sure. It’s mind-boggling.”
Liverpool head coach Jurgen Klopp, however, doubts Messi will make the switch to the Premier League, while also admitting it would strengthen the Manchester club.
Klopp said: “It will obviously help Man City and make it more difficult to beat them.
“For the Premier League, it would be great, that would help, but I am not sure the Premier League needs that boost.
“He’s never played in another league. Football is different here. I’d like to see it. Not sure I will.”