According to report, ambassador Francois Richier invited her to have lunch with Hollande, who is India's chief guest at this year's Republic Day celebrations.
Aishwarya is currently shooting for "Sarbjit" biopic based on Indian prisoner Sarabjit Singh who died in Pakistan jail in 2013.
Aishwarya, a regular face of Bollywood at Cannes, will be representing Indian cinema at the do.
French President Francois Hollande arrived on a three-day visit to India on Sunday. Prime Minister Narendra Modi met him at the Rock Garden in Chandigarh after his arrival.
They together visited the Government Museum and Art Gallery after his arrival. During his stay in Chandigarh, Hollande, along with Modi, also attended a CEOs' Forum and the India-France Business Summit.