Okay, love love the FS music!
That's definitely "View of Silence" from the studio album Pretender. I've played that piece so many times, I can dream it.
I'm trying to place the last couple of notes that I heard, 3:25 to 3:32. I thought at first it's from White Night (Piano Stories II), but having doubts now. It also sounds similar to a passage from Mononoke Hime, so... anyone know for sure?
edit: it's not the Mononoke Hime part, either, there's like two notes switched in the melody of about eight notes. Hisaishi sure likes to reuse melodies that are almost the same but not. ;-)