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Asked if he would be joining Real Madrid for the 2019-20 season, the Brazilian, whose current deal extends to 2022, answered: "No, I have a contract with PSG and I will continue in Paris."
The Brazilian, who scored as PSG beat Angers in Ligue 1 on Saturday, was on a flying visit to Spain.
Catalan newspaper Diario Sport tweeted pictures of Neymar with former teammates Ivan Rakitic, Luis Suarez and Marc Ter Stegen at Barcelona's training centre.