I am trying to find out if there are any notable teams, in any sport, that are recognized at some level as part of two or more national bodies. For example, imagine if the neighbouring Słubice (Poland) and Frankfurt an der Oder (Germany) had a joint team, recognised in some form by both the Polish and German federations for said sport.
I would like to find teams that participate in at least one official national and/or international competition for clubs. I am not interested in: invitational teams and other similar groups that are assembled for exhibition mathces only, such as the Barbarians in rugby; multi-national sides competing officially only against national sides or similar multi-national sides, such as West Indies in cricket.
If any such teams exists, please provide some details about which organisations they belong to, which competitions they take part in, and more generally which rules regulate or limit their multi-national nature.