Facebook has now made it possible to embed public posts, similar to how Twitter and Instagram can be embedded into content. It is worth mentioning that posts must be "public" in order to be embedded. 

You can check to see if a post is public by looking for a little globe next to the date of the post. All other post types (private, among friends, or friends of friends, etc.) cannot be embedded.

The embed code is grabbed by clicking on the little downward arrow in the upper right-hand corner of the post.

Clicking on the button pulls up a dialog box with a snippet of HTML code. Copy the code, and embed it into your site. Wordpress, for example, will require you to go into the "HTML View" rather than visual view. One can assume a future update will allow for oEmbed (similar to Twitter), but for now, that isn't possible.

Here's a working finished product of embedding a Facebook post. Users can comment, like, or share on the Facebook post right from within the embedded content, as long as they are logged in to Facebook.