I have mixed feelings about the action of parting ways. Everyone goes thru hard times at certain points in their lives and if you feel in your heart that you miss them and want to share some form of a life with them and that the other person has said in some way shape or form that they miss your friendship/relationship then why deny it? People all heal differently. I would confirm with them if they still want you in their life and if they say yes then proceed to build something. Humans are not solitary creatures.