I think the non-diegetic music which comes in the later part of this video would fit well with our film as our storyline is of a similar nature. Our story is the following; 'Man meets woman to stop an affair and then he leaves.' However we need it without the dialogue from The Black Dahlia.
Watch it here
Researching it further I've found the soundtrack to The Black Dahlia with the music by Mark Isham. This particular track which I'm interested in is titled 'The Two Of Us'.
I can't find the track on its own on YouTube but the whole soundtrack is on spotify. I'll be listening to the other tracks from the film to see if there's a more suitable track for our film.