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The two are in different positions heading into the final weeks of the campaign, with manager Pochettino under contract but reportedly at threat of losing his job.
Mbappe, meanwhile, is out of contract and wanted by Real Madrid as PSG try desperately to ensure he stays in Paris.
Speaking on Thursday, Pochettino claimed he was “100 per cent” confident that both he and Mbappe would remain with the Ligue 1 leaders into next season.
“This is football, and we never know what might happen,” he stated. “But I have to answer the question based on how I feel today.”
Pochettino added that he had not spoken to the PSG hierarchy about his future with Tottenham boss Antonio Conte and Zinedine Zidane said to be targets if he is sacked.
Mbappe will be looking to improve on his tally of 33 goals and 22 assists this season when PSG head to Strasbourg on Friday night, with the chance to secure their league crown.
“I haven't made a decision but there are new elements,” the Frenchman said earlier this month. “I'm calm, trying to make the best decision with my loved ones.
“If I had made a decision I would have said it. I want to make the best possible decision. It's not an easy decision.”