Rafi Crohn will executive produce.
Based on D Eric Maikranz's best selling novel, "The Reincarnationist Papers", the film centres on a group of near-immortal men and women who are reincarnated over the centuries and are known as "the Infinite".
To defeat an evil mastermind who wants to destroy the planet, the group must rely on a man who suffers from schizophrenia and will have to learn that all his vivid dreams are actually memories from past lives, in order to defeat the villain.
The 37-year-old actor had famously grown a moustache for his debut Broadway play, "Lobby Hero".
Evans is currently gearing up for "Avengers: Endgame", which is expected to be his last outing as Marvel superhero Captain America.
The actor will also feature in Rian Johnson's "Knives Out", co-starring Jamie Lee Curtis, Daniel Craig, and Michael Shannon.
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