The helicopter was found burned in the town of Garges-les-Gonesse, in the northern suburbs of Paris.
Faid was believed to have left by car along with his accomplices.
French prosecutors opened a new investigation into Faid, 46, who was serving time for the 2010 death of a young police officer killed during a botched robbery.
Investigators were questioning his brother on Sunday afternoon.
After his 2013 escape, Faid was arrested at a hotel six weeks later.
In the 1990s, he led a gang involved in robbing banks and armored vans.
He was arrested in 1998 after three years on the run in Switzerland and Israel, according to French media reports.
Faid was freed in 2009 after serving 10 years.
At the time, he swore that he had turned his life around, writing a confessional book about his life of crime and going on an extensive media tour in 2010.
Still, he was the suspected mastermind of the attempted armed robbery in 2010 that led to a high-speed chase and a shootout with police that killed 26-year-old Aurelie Fouquet.
He was arrested in 2011.