Mbappe’s situation, in particular, has been the subject of much speculation ahead of his contract expiring in 2022, with Real Madrid just one of the clubs interested in the forward.
“We’ve started talks with Neymar and Mbappe,” Al-Khelaifi told RMC Sport.
“The negotiations are confidential, but I have a lot of faith. They both want to stay with us.”
The pair both arrived in 2017, with the Frenchman coming in from Monaco while Neymar joined from Barcelona and both see their current deals end in 2022.
PSG spent 222 million euros on Neymar and 180 million euros on Mbappe.