facebook TO wordpress???

Hi

Apologies I’m quite new to wordpress.com sites so this might be a naive question…

I am aware there is a way to publish wordpress posts from wordpress onto facebook pages. However is there a way to set it up the other way around, so when I post on a facebook page it automatically goes to wordpress post and turns up as a post? I think tumblr can do this (can it?), but can wordpress and how would I do it?

Thanks!

Sam