I believe that theme is from THE UMBRELLAS OF CHERBOUG by Michel Legrand, a real potboiler that has been recorded many times. It isn't an original theme by Bruce Broughton.
Also floating around the 'net is a very brief clip that is purportedly the "western" theme from Cinemagique. This one has all the hallmarks of Broughton's style (shades of SILVERADO). Unfortunately the sound quality is horrendous.