...Chopin "Nocturne In B Flat Minor" (Levi on piano in final video)
Other pieces in episode:
..."Sonata In E Minor" (Levi on piano with violin player)
..."Harpsichord Suite Set II, No. 7 in B-Flat Major, HWV 440 I" (Levi on piano in 1st video)
.................- from Fox site http://www.fox.com/bones/recaps/season-5/episode-03.php - from the "Bones :: "About" tab