Can the 'Message'' rearange your PM coversations to exclude the other conversations? See detail.

PMs default to private. That means only you and other person can see the messages you exchange. Noone else can see them.
There is an option to make a message public which means anyone on here can see it. But some one has to manually click the “public” button.

If you go to “Messages For You”, then click “Reply” on a person’s message, you’ll see the last few messages you exchanged with that person. You can then click “Show ___ older messages” near the top of the page.

Ok. If it says “See previous 3 messages” , then there is nothing previous to that, I guess.

Go look @flo.

PMs are private messages which are for sending to people and only they can read the message.

@KRD I believe there is the option for others to see the exchange

Not unless some makes it public.