After netting in the 2–1 win over Brazil recently, the Real Madrid star now has 56 goals in 95 appearances, just one behind Olivier Giroud.
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Speaking to RMC, Papin placed Mbappe at the top, insisting his best is still to come.
"I think that, today, he is the greatest striker in the history of the French team, yes. And you know what? I think he's going to be even greater," he said.
"He hasn’t had the Ballon d’Or yet, yes, but me, would I exchange my Ballon d’Or for a title with the French team? Maybe. It’s something to think about.
"I never played to win the Ballon d’Or, and I got it. Whereas I would have so much liked to have a World Cup, and I never had it."