This link should be able to help you.
I just checked that site again, and it looks like it was shut down the day after I posted my response. I scanned the list of music from the movie they had there. Didnt' see anything that looked classica. If you can tell me how many hrs/mins into the movie it is (I have the VHS version of the movie) I'll check it out and see if I recognize it.
The site is working fine for me. In case it goes down again, here it is: Track 8- The Art Museum - "Please Please Please Let Me Get What I Want" 12"single Blanco y Negro NEG 20T, 1985UK by The Dream Academy. I remember some of their stuff being slow tempo with kind of a classical sound. The song they're best known for is "Life In a Northern Town".