Pep Guardiola's side came from behind to claim a 2-1 win over Paris Saint-Germain last week at the Parc des Princes, putting them in a strong position for Tuesday's return at the Etihad Stadium.
PSG's all-star attack was largely nullified, centre-back Marquinhos having headed them into an early lead, and especially so after half-time.
Mbappe failed to attempt a single shot for the first time in a Champions League game where he has completed 90 minutes, with Stones and central defensive partner Ruben Dias understandably taking plenty of plaudits for their display.
"It's never easy, whoever we come up against. On the big occasions it matters the most," Stones told reporters at a Monday news conference, after Mbappe was confirmed as a member of PSG's travelling party despite sustaining a calf issue during the initial encounter.