The EU has had it’s own battlegroups since 2003. These are battalion sized (500/600 people) ground forces allowing the EU to project it’s power without outside help and reinforce its position as an international actor.
Allthough this is a great step forward for EU independent operations, the battlegroups are far from perfect.
This report was released which goes into the pros and cons of the current EU battlegroup structure – as well as explaining it – in detail. PDF link.