Andrei's theme , or the Waltz (or both edited together, for a change of pace) from War & Peace - Especially for Dima Aliev
I am glad someone else likes this soundtrack, I am in love with the film itself and watched it about 100 times!
I simply can't understand why any of Russian ladies didn't take a chance to play Natasha Rostova (much more suited to their age than Anna Karenina), I particularly love Natasha - Anatol theme:
https://www.youtube.com/watch?v=cXwwBCFUsy0