In a time of global challenges, rising geopolitical tensions and a weakening of the traditional trans-Atlantic security community, we can expect pressures for Europe to play a more important role in the world. Various initiatives have been taken to strengthen the role of the European Union (EU), but there are also tendencies towards a more complex European governance structure in the making, characterized by a combination of both EU and non-EU (but still European) initiatives. This introductory article presents a framework for studying a European role that includes initiatives taken within and outside the EU framework, but closely interlinked, indicating that the concept of differentiated integration (DI) may help to clarify Europe’s role in a changing and volatile global context.