Mbappe's deal at Parc des Princes expires in 2022 and Real Madrid remain interested in signing him.
Sport has been halted by the global pandemic indefinitely with French football clubs' finances hit particularly badly, as PSG Chairman and CEO Nasser Al-Khelaifi explained earlier this week.
With France yet to set a resumption date for Ligue 1, Ligue 2 and semi-professional Championnat National, Les Parisiens' transfer plans are on pause -- including contracts that are not imminently expiring.
However, ESPN sources confirmed that tying Mbappe to a lucrative new deal is still high up on PSG sporting director Leonardo's to-do list once football gets back underway.
Both parties are in regular contact but the focus of discussion in the capital concerns Mbappe and his teammates committing to the recommended pay cuts that professional clubs are negotiating with their players.
Once football returns, ESPN sources say the idea is to pick up talks where they left off before the enforced break, with Mbappe in no hurry to commit as his original plan was to see how the 2019-20 season panned out.
Meanwhile, sources told ESPN that PSG are keeping an open mind regarding potential contract extensions now that this summer's transfer market will be affected by coronavirus.