I see the private message pages. Then see this "You have not added anyone to your Friends list yet."

BowBharath - There used to be a button called Add Friend, which I don't see anymore in the user profiles on Lithium community. However, if this is something in your own community, you can still leverage this feature in your community by adding the <component id="users.widget.contact-me"/> on the user profile page.

You can also check your friends at https://community.lithium.com/t5/notes/v1_1/privatenotespage/tab/contacts

I hope this helps.