Can I delete a conversation ('private message' in old-speak)? I don't see a button or link. Yes, a conversation can be deleted using one of two options: permanent delete or soft-delete (see bottom image for explanation of both). Open the conversation you wish to delete. At top-right, just above upper-most message pane, click Leave Conversation (see image). In the pop-up box, select the desired Future Message Handling (see image). Click Leave Conversation button. Conversation is now removed from conversations list.