Abstract: This paper will draw on the findings of the EU P7 CONVERGE project in ‘Re-thinking Globalisation’ in the light of Contraction and Convergence TM. In particular it will build upon ideas proposals developed at an international conference on a ‘New Social Contract for Sustainability’ which focussed on a new sustainability vision for Europe. The paper will argue that in order to pay due attention to issues of equity, inclusion and social justice it will be necessary to develop a differential approach to degrowth. This should recognise the different levels of human development within and without the European community as a key starting point. Differential degrowth should target conspicuous and unnecessary forms of consumption and particularly harmful kinds of production whilst encouraging the growth of transforming modes of meeting the needs of Europe’s citizens. Strategic and political implications for different kinds of stakeholders and for ongoing EU sustainability debates will be outlined for further discussion.