In additions to the official DVD this scene is described as a concerto by Edward. In fact, it was a variation of Robert, who himself composed this track. This is improvised - Rob was asked many times whether it can play that again and admitted that he didn't. Initially the track was supposed to be Bella's lullaby, but eventually was replaced by a well-known piece of us all, and the scene was deleted from the film. From what as I know this song has no title, and even if the title is it only knows its author.
Thank you so much Monica!I'll keep listening the song on youtube if he doesn't remember the song..I mean of course he doesn't,if it was improvised.
I've didn't knew that 'cause in my country,we don't have the full Twilight DVD-just the movie,without deleted scenes and stuff..so Thanks a lot!