The Parisiens have long been negotiating with the duo over a contract renewal as they’re approaching the final 12 months of their respective deals.
Following their 3-2 victory over Bayern Munich on Wednesday, Paris Saint-Germain’s CEO toldSky Sport Italia
: "We will be happy to talk about contracts [soon]. We will have to see how things are. Things will be more concrete soon.
"But for now we have to concentrate on the Champions League as we are entering the final phase."
Neymar has been heavily linked with a return to Barcelona as they are monitoring Mbappe’s situation closely.
Real Madrid and Liverpool are the other clubs that are reportedly interested in France international.
PSG, who are famous for requiring marquee additions, have been linked with moves for Lionel Messi and Gianluigi Donnarumma this summer. However, Leonardo was keen to avoid any transfer-related questions as he added: "Donnarumma? This is a Champions League broadcast, not the transfer market."