This is how it was used in this movie.
As Bond arrives in Istanbul at 23 minutes, a variation titled Bond With Bongos plays. A few minutes later as he checks into the hotel the actual Bond Theme plays. So there are two, but only Bond With Bongos was put into the soundtrack album.
In fact after Dr. No, no soundtrack album ever again included the main Bond theme, even tho it was included in movies at least up to Diamonds Are Forever. This was a great frustration to me when I couldn't find the theme for many years.