Night Caller (top left image) is the 20th in the Turn Of Fate television short movies and is from 1958.
Paul Martel (David Niven) is a writer who is in his mountain residence when he’s interrupted by a visitor.
The man tells him of a perfect murder that was committed 17 years previously, then confesses it was him.
At gunpoint, he gets Martel to write the story and tells him once he has finished then he’s going to kill him.
However, the police arrive on the scene and it turns out the man is an escapee from an asylum and they’ve been after him for a few days.
Movie pages here.