I am creating a website, something like business directory. I want to allow my users to have Facebook comments on the pages. I read that I should connect their comments with their Facebook ID so they can be allowed to delete them. I wanted to know, can my users answer or delete those comments directly from Facebook, or must they be only on my website to answer?
Then users can comment on that page. By default their comments are shared on Facebook. Replies on facebook will also show up on your site.
I suggest you to use Facebook API for monitoring or deleting comments.
Or, if you want to have just a comment box where user can comment or delete their comments, use Facebook's social plugin.