((Fuzzy))
To me compassion is kindness and open heartedness towards others, particularly if they are experiencing problems or adversity in their lives.
Empathy would be the ability to feel along with someone-- to experience their feelings as if they were yours.
I think that both qualities would be important in both friendships and the therapeutic relationship. Certainly, empathy is the cornerstone of the therapeutic relationship and compassion can't be far behind.
Peace