At the top of your chat list, you will find a section titled important. This is where Blink puts messages it thinks are particularly important to you.
Leading indicators used to determine importance are:
You have been mentioned
The chat is between you and just one other person
The chat is a part of your favorite list
You have notifications for that chat set to 'all messages'
How often do you participate in that chat
How close you are to the person talking in that conversation. This is based on a calculated relationship strength with each of your contacts.
Important chats are automatically recognized and separated automatically by Blink for your convenience.