The EU Constitution proposes a, partly new, division of EU competences:
In all areas in which the EU has no clearly defined competence, the competence should remain with the Member States according to the principle of conferred powers.
Links
See the reader friendly edition of the EU Constitution with highlights, remarks in the margin, plus a great index to help you move around: http://www.euabc.com/upload/pd......f/draft/rf_constitution_en.pdf