This article addresses the issue of whether a model of deep European integr
ation might be envisaged in a continent-wide process that might accompany e
astern enlargement of the European Union. The paper argues that deep integr
ation in Western Europe has been built on three dimensions: the functional;
the territorial; and affiliational. The articulation of these three dimens
ions has evolved through not only the EU, but also a dense pattern of other
transnational linkages, including those between immediate neighbours. More
over, different west European countries have been linked into this process
through varied patterns for `domesticating' Europe. Efforts to develop an E
U polity require the interplay of all three dimensions of integration, a to
ugh goal for post-cold-war Europe in the western part of the continent, let
alone in `pan-Europe'.