I went to the offical site for ICE and they call themselves this:
The Official Gateway to Italian Business and Trade
The ITALIAN INSTITUTE for FOREIGN TRADE (I.C.E) is the public agency entrusted with promoting trade, business opportunities and industrial co-operation between Italian and foreign companies, mostly by organizing the participation of Italian firms in fairs, exhibitions, workshops and bilateral meetings in more than 100 countries all over the world. In its work the ITALIAN INSTITUTE for FOREIGN TRADE promotes Italian foreign trade and contributes to economic growth, employment and cultural development in Italy. It operates through 100 branch offices in over 80 countries in the world and helps foreign and Italian companies to get in touch and develop business opportunities. The agency also has special assignments primarily for co-operation between Italy and some of its neighbors - Mediterranean countries,
Eastern Europe and the Middle-East.

so I'm not sure where the other acronyms are coming from.

Angela