The film is a biopic on Sarabjit Singh, an Indian farmer who was convicted of terrorism and spying in Pakistan and was sentenced to death.
It narrates the story from the point of view of Dalbir Kaur, Sarabjit's sister played by Aishwarya, who endured severe hardships in trying to get her brother released.
After 22 years on death row, Sarabjit was attacked by fellow inmates in jail and died in a Lahore hospital in May 2013.
The title role is played by Randeep Hooda, while the role of his wife has been played by Richa Chadha.
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"It's (film) releasing on May 20. I don't know if we will be able to make the opportunity possible on that (Cannes Film Festival) platform as well. In the last week (of film release) we meet you (media). So given the time line if it's possible the team will use that opportunity," Aishwarya, 42, told reporters here.
"However there are many deadlines to be met. We will wait for the team to announce if there is an opportunity. It (Cannes) would be the perfect platform to share it, but it is coinciding with the release of the film," said Aishwarya, who was here to unveil the L'Oreal Paris Cannes 2016 Collection ahead of her trip to the festival as its brand amabassador.