Is it possible to include facebook comments from a particular post on my website?

Facebook provides a plugin to allow you to attach comments to a web page:

http://ift.tt/1otAWwg

but those comments are attached to the page you add the plugin to.

There's also a way to embed a post:

http://ift.tt/1aq09mu

But this doesn't expose the comments.

I would like a way to expose comments from a particular Facebook post on my page (like 'embed post' does for the post). Ideally, I should be able to place a comment on either the post or my page, and both would update to reflect the new comment.

Is this possible to do easily? Is it possible to do with the graph API, but complex (maybe by completely recreating Facebook comment behaviour)? Or does Facebook make this behaviour impossible?