Terrorism and how to respond to it looms large in the current transatlantic debate, with the Europeans often being accused of failing to recognise terrorism as the major strategic issue of the early twenty-first century and thus putting their own security as well as that of others at risk. This is both true and false. It is true in the sense that fifteen years after the end of the Cold War, the Europeans still lack a global strategic vision, never mind how the threat from terrorism might impact upon it. But it is false in the sense that it understates what the Europeans can and are doing to reduce and manage terrorism on a global scale. The article is structured into four sections. The first examines terrorist activity in Europe post-9/11. The second deals with how the Europeans responded to 9/11 collectively within the EU. The third section focuses on what are termed the “outreach” activities of the Europeans via the United National Security Council, G-8, OSCE, NATO, and the European Union. And finally the article concludes that it is this outreach by the Europeans that holds the most promise for effectively countering international terrorism, that the Americans are dependent on this activity, and that the Europeans have to modify their strategic vision in order to deliver more effectively.