The CONMEBOL outfit are a few lucky bounces away from sitting in second place in Group C, and their lack of an efficient striker has really hampered them.
France will qualify for the last 16 if they win, after Denmark and Australia drew 1-1.
The South Americans were made to pay for their miss four minutes later when Mbappe became France's youngest ever World Cup scorer by converting a close-range rebound, after Gallese had partially blocked from Giroud.
Peru coach Ricardo Gareca said his team will not be bullied by France in their World Cup clash on Thursday, but admitted: "We are not on their level anywhere".
Pedro Aquino thumped a shot off the crossbar from 30 yards, with Lloris, making his 100th global appearance, beaten.
France's defender Raphael Varane (left) and Peru's forward Paolo Guerrero tussle for an aerial ball during their Russian Federation 2018 World Cup Group C match at the Ekaterinburg Arena in Ekaterinburg on June 21, 2018.
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In contrast, Peru face Australia with their fate sealed and just pride to play for in front of their passionate and large following that has decamped to Russian Federation. He put his hand in the face of Samuel Umtiti, then argued with the referee when the foul went against him, and was booked.
Andre Carrillo fired over soon after the hour, with Guerrero doing the same as France were forced deeper, and with a quarter of an hour to go a Carrillo cross was turned into the side-netting by the stretching Farfan.
After getting very little out of the three-prong attack of Mbappe, Antoine Griezmann and Ousmane Dembele in their opening win, the French trio were active in Yekaterinburg.
Peru, in their first World Cup finals since 1982, played boldly and had their best chance five minutes into the second half when Pedro Aquinho's fierce shot hit the post.