Local authorities revised the official death toll downwards from the previous total of 13, which had earlier been issued by the interior ministry.
Two more people are still missing, with eight seriously injured.
President Emmanuel Macron offered “the sympathy and solidarity of the entire nation for the victims of the Aude flooding and their families”.
The flooding swept away cars, gutted streets and battered buildings and bridges.
With so many roads being impassable, helicopters were deployed to rescue those who were still stranded.
Thousands of homes throughout the area were without electricity.
Around 1,000 people were evacuated from the area of Pezens amid fears that a nearby dam could burst.
Last week, another weather system in the Mediterranean left 12 people dead on the Spanish island of Mallorca. The severe storms also triggered landslides in Sardinia and flooding in Malta.
The current weather system over the Mediterranean is likely to cause further flooding in Corsica and Sardinia today before easing.