Union of European Football Associations. FULL FORM OF U.E.F.A.?. The Union of European Football Associations is the administrative body for association football Some UEFA members are not sovereign states, but form part of a larger recognized sovereign state in the context of international law. . and –94 UEFA club competitions despite Israel not being a full UEFA member. First Vice President : Karl-Erik Nilsson. Get UEFA full form and full name in details. Visit to know long meaning of UEFA acronym and abbreviations. It is one of the best place for finding expanded.