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The Barcelona captain and record goalscorer is out of contract in the summer and therefore could be available on a free transfer.
And according to Marcelo Bechler, the journalist who was first to report news of Neymar's shock move from Barcelona to PSG, the Ligue One champions are still weighing up a mega deal for the six-time Ballon d'Or winner.
:exclamation:' PSG takes the lead for the signing of Messi for next season. The French club has offered a 2+1 years deal. [@marcelobechler] pic.twitter.com/XdKnhyifkp
- La Senyera (@LaSenyera) April 27, 2021
It's said that PSG, who showed strong interest when Messi handed in a transfer request last summer, feel their offer and project cannot be beaten by any other club.
Their proposal to Messi is an initial two-year contract, with an option for an extra year, while he will also be offered the iconic No.10 shirt.
Neymar, his former Blaugrana teammate and close friend, has worn No.10 in Paris since his world-record £198 million transfer in 2017.
Javier Pastore let him have the No.10 jersey as a gift and reverted back to No.27.
Neymar and Messi linked up wonderfully during their time together at Barca and the former revealed his desire to link up with Messi again following PSG's 3-1 win over Manchester United in December.
"What I want most is to play with [Messi] again, to be able to enjoy being on the pitch with him again," the Brazil international told ESPN after scoring a brace.
"He could play in my place. He won't have any problems, I'm sure. I want to play with him again and I'm sure that, next season, we have to do it."
Neymar is believed to contacted Messi in a bid to try and get him to join him in the French capital.
Messi is poised to wait until the end of the season before considering his options, but Blaugrana captain Andoni Zubizarreta believes the Argentine superstar has already made his mind up.
He told Catalunya Radio: "In the process of us making our decisions, the things that happen to you have an influence.
"These are the factors that accumulate, but I think that Messi has, more or less, made up his mind.
"The cup final is one of those factors that help to confirm your decision. But I don't think it will be decisive.
"He is a veteran and we have all had days when we think about giving up football.
"Messi is a footballer in the traditional sense of the word, he is not a marketing product. He's old enough to know that sometimes you win and sometimes you lose, the thing is that he feels good at Barca."
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