This is a copy of a thread I posted on another site:
The music for the dance sequence is not on the soundtrack simply because it wasn't composed by James Horner (as all the other songs were).
I believe the music for that scene was originally based on a famous folk song from the 1800's called "El Sombrero Blanco".
The closest copy I found to it on Kazaa was a rendition by Enrique Rodriguez called "El Sombrero". The beginning sounds very much like the dance sequence, so I'm pretty sure that's it. There's also one by Los Churumbeles De Espaņa, but I think the one by Rodriguez is more similar. Keep in mind that the folk song is more upbeat -- in the movie version, they slowed it down, added more strings, and made it more dramatic.
I agree that it's a beautiful song, especially combined with the sweeping movements of the camera, and, of course, Antonio & Catherine's dancing.
I've also read that "El Sombrero Blanco" was also used in the 1940 film The Mark of Zorro, where Zorro (Tyrone Power) again dances to it to win the heart of a seņorita. But I haven't seen that film, so I couldn't say for sure.
Hope that answers your questions.
From,
-Genevieve-