'Can you still see the heart in me?
All my agony fades away when you hold me in your embrace'
Elena is the only one seeing the heart in Damon. She knows there's good in him and she won't let him give up.
Season 2: Losing Your Memory by Ryan Star
Hearing this song I can literally feel Damon's pain of being rejected, being alone, being in love with someone who's unavailable.
Season 3: Never Let Me Go by Florence + The Machine
For me, personally, this song became DE's trademark. Someone once said 'If Stefan is Elena's harbor, then Damon is her ocean. Ships are safe in a harbor, but that's not why they were built' The way I interpret the song, is it's about jumping into the unknown and that can be scary. The ocean can be dangerous, can't be tamed, it's not safe. So I'm eagerly waiting for Elena to leave her safe harbor and jump into the ocean.