Syncing Comments between Facebook and WordPress

I know that it is possible to set up a wordpress site that allows you to publish your posts to facebook. But then you have some comments on your facebook site and some on your wordpress site.

Is it possible, do you know, to make it so that the comments on facebook and wordpress sync – i.e. Facebook and the WordPress site show the same comments.

I have searched and searched for it, and people seem to suggest it is possible, but I just cannot get it to work.

I have tried several plug ins, to no avail.

Can anyone help please?