The Midnight Story

The Midnight Story also known as Appointment with a Shadow in the UK and The Eyes of Father Tomasino in Australia is a 1957 film noir starring Tony Curtis about a traffic cop who becomes obsessed with finding the murderer of a beloved priest. He becomes friendly with the family of his main suspect, resulting in emotional complications.

In a ploy to encourage Sylvio to confide in him, Joe pretends to be a murder suspect himself. Sylvio breaks down and admits to having killed his own sweetheart, then the priest as well after confiding to him about the murder in confession. Sylvio runs into the street and is struck by a moving vehicle. Dying, he begs for Joes forgiveness.

Source: Wikipedia