Autopost and comments

Here is something i would like but dont know if its possible:

When a user publish a post, its autoposted to a facebook page (https://www.facebook.com/pages/Clasificado-Fueguino/1707318976073449). In wordpress i have enabled FB Comments and works fine, but my question is... can i sync the fb comments between the wordpress post and the fan page? in the end both use facebook comments so its logical, but i cant get it working

Can you help me?