The series of quakes finished with two at 7am and 7.30am on Thursday, with magnitudes of 2.0 and 2.1 respectively.
No structural damage or injuries were reported.
And when it does strike, Bossu says, we could see the scale of damage seen in the historic Italian town of L'Aquila which was devastated by an earthquake in 2009 that left nearly 300 dead. After the quake six scientists were jailed for manslaughter for playing down the risks of earthquakes.
South-eastern France is also awash with centuries-old towns and villages like L'Aquila but whether or not the next big quake proves as devastating will depend on exactly where it strikes, Bossu says.
“If it's magnitude 6 then it can cause damage up to 15 kilometres away. What is key is how far it will be from the nearest town or city. If it's 10 km then the impact will be limited, but if it's close to a town like Nice then it's a different story. It can have a huge impact. Then we are looking at a similar quake to what happened in L'Aquila," he says.