This soundtrack apparently has not yet been issued (no Discogs entry). Only a couple of tracks are mentioned here for instance:
http://www.soundtrackcollector.com/title/20865/Tony+Rome
But no incidental music.
Or possibly a bootleg somewhere.
P.S. Real bummer though, Billy May plus cheesy spy film, sounds promising.
was issued for release at the time. Only around 16 minutes of score was included in the film; so very little to include on an album. Simply not financially viable.
On top of that, Billy May, the composer was Frank Sinatra’s orchestrator and was the arranger and conductor on Sinatra’s most famous and successful recordings
and May had no interest in recording the work for commercial release.
The film Tony Rome is not a cheesy spy film – that would be the awful Dean Martin, Matt Helm movies. Rome was a hard-boiled noir detective, adapted from Marvin H Albert’s
novels. So successful was Tony Rome that Sinatra returned in the role in Lady In Cement in 1968.
Your search for Tony Rome is something of a wild goose chase guys …