This article attempts to demonstrate the importance of the discursive context for whether and, if so, how the European Union (EU) can exert normative power in different policy areas. Surprisingly, the concept of power has not been extensively discussed in the academic literature on Normative Power Europe, with the notable exceptions of Diez (2013); Keene (2012); Forsberg (2011) and Huelss (2011) (who also discuss the meaning of the ‘normative’). Focusing on power, the question asked in this article is how the discursive context of the politics of religion affects the EU’s ability to exert normative power in this area. The article examines the politics of religion by looking at the case of the debate about human rights versus religion in the United Nations Human Rights Council after the year 2000. The broader point addressed in the article is whether the EU can exert normative power regardless of the discursive context of the policy area concerned.