The year is 2044: artificial intelligence controls all facets of a stoic society as humans routinely "erase" their feelings. Hoping to eliminate pain caused by their past-life romances, Gabrielle (Léa Seydoux) continually falls in love with different incarnations of Louis (George MacKay). Set first in Belle Époque-era Paris, Louis is a British man who woos her away from a cold husband, then in early 21st Century Los Angeles, he is a disturbed American bent on delivering violent "retribution." Will the process allow Gabrielle to fully connect with Louis in the present, or are the two doomed to repeat their previous fates?