It looks like even European countries who are not members of the EU are looking to join these forces:
EU Business
Norway, not a member of the European Union, is keen to contribute to a rapid intervention force which the EU is planning to put together by 2007, the
government said on Monday.
"We have a real interest in participating" in the so-called battle groups, Defense Minister Kristin Krohn Devold told Norwegian public broadcaster
NRK, adding however that Norway's contribution would be "small"...
...The EU's battle groups project, which has been under discussion since last year, will create nine 1,500-strong forces deployable within 15 days to
deal with situations ranging from peacekeeping right up to full-blown conflict.

Norway is already a member of NATO, I guess they'll be contributing troops to both.