"Asia will be strategic for us in the coming years, particularly India," Trappier told the Sud Ouest regional newspaper.
As well as negotiations with Malaysia for a contract that would be worth about two billion euros, Dassault is talking to India about a second contract, following the 2016 sale of 36 Rafales, a lower figure than was originally mooted.
"India's requirements are enormous," Trappier said. "For the navy, we're talking about 57 planes."
The next foreign contract is likely to be signed in 2018, according to the Dassault CEO, who was in south-west France for the anniversary of a military base in Mérignac and an air show.