Vimeo Plus, PRO, Business, and Premium members are able to see which domains their videos are embedded on (facebook.com, myradsite.biz, etc). All of this data can be found on the source URL report.
PRO, Business, and Premium members can go one level deeper and see the exact URL (e.g., facebook.com/vimeo/posts/12345) by clicking the [+] button next to each domain.