The Association of European Coeliac Societies (AOECS) keeps a list of European members.
You can zoom in on Europe or other regions on the map below for more detail on each of the Societies listed.
Other Coeliac Societies around the world:
A lot of these Societies provide their websites in English as well as in their native language, but where it isn't available Google Translate, Babelfish or similar can be used to get a good understanding of the content on the website.