Bertrand and Eric Dier both went close to restoring England's advantage, but the sight of Mbappe skipping around Phil Jones to force a near-post save from Heaton gave another example of the attacking verve that would put France ahead before the break.
The trio gave the England defence a hard time on several occasions, notably Mbappe, who rattled the crossbar with a curled left-foot shot shortly before setting up Dembele for his maiden goal for France.
It was a night when there were emotional scenes before kick-off, with the crowd singing the Oasis hit Don't Look Back In Anger and France fans joining England supporters in singing the national anthem in memory of those who died in the Manchester and London attacks.
France's Ousmane Dembele in action with England's Gary Cahill.
The match will see the Video Assistant Referee trialled for the first time in an England game as Federation Internationale de Football Association looks to ascertain if it can be used in next year's World Cup.
Gareth Southgate will count with a plethora of young talent on his squad with players like Dele Alli and Harry Kane but will also have experienced veterans at his disposal like Jermain Defoe and Adam Lallana.
"Then we saw things we have to get better at, without ball and our managing of the ball at 2-2".
Dembele's mazy dribble, turning defender John Stones inside out, led to the second goal. But, again, France was quickest to respond and Sidibe slammed in the loose ball.
With Antoine Griezmann and Alexandre Lacazette stood down from France's starting line-up, all eyes were on Kylian Mbappe. There were a lot of white shirts in that box, but it's not entirely clear what they were up to.
"I think at some point it is probably something we should do - in fact, I am certain it is something we should do - but I think it has been good to devolve the leadership".
"Obviously he's only had four or five games back, so we're going to have a think about exactly how we want to approach that game".
"Kante has been a revelation in our league for two years and it's nice he's had recognition this season because I thought at Leicester last year he was the most important player in the team".
It was a similar situation on France's second goal just before half-time, when Heaton produced another fine save to keep out the 20-year-old Dembele only for Sidibe to reach the ball first and lash it into the back of the net.
Macron and May will launch a joint campaign on Tuesday to combat terror online, and will discuss the possibility of taking legal action, including fines or penalties, against tech companies like Goggle and Facebook if they do not remove insightful content from their online platforms.