This paper addresses a specific phenomenon concerning power concepts in Canadian and EU foreign policies. As is widely known, the liberal-democratic platform has dominated global relations after the end of the Cold War. Implemented power approaches are studied from theoretical perspectives of liberalism/constructivism standpoints and their realist critique. Canada has been presented mostly as a middle power in international relations trying to find its specific role as a mediator and balancer among superpowers. On the other hand, the EU is classified predominantly as a normative power with tendencies to act as a great power from some point of view. In the paper, we analyse both entities through the recent concept of ‘awkward power’, whereby states have a so-called “dubious character”, acting in-between the potential of great and middle powers.