Yes/No (I boke up with them and then they wanted to come back) and No.
I am not the one to go back and forth. If you didn't want me at first, you don't get a second chance, because you'll probably do it again.
BUT, I have never been dumped before, I have always been the one to break it off.
If a man didn't appreciate what he had at first, he didn't deserve it, so I say I would NEVER take a man back that dumped me.