In the last few years, migration towards Europe has intensified as a result of poverty and war in other parts of the world. Now, the European Union finds itself in a “refugee crisis” that has brought about contrasting reactions from within European societies. While many civil society organizations have mobilized for the inclusion of asylum seekers and undocumented migrants, governments have increasingly focused on restricting access and limiting their numbers. This study seeks to understand and explain the role of civil society in the refugee crisis. To this end, citizenship and framing theories are applied to the case of the Swedish Red Cross. Specific “acts of citizenship” carried out by the Red Cross in Sweden, and in Europe more generally, are analyzed. The study’s findings suggest that this civil society organization/movement acts as both a “denationalizing” (Sassen 2002) and a “post-nationalizing” (Bosniak 2006) force as it pushes the boundaries of citizenship from within and beyond the borders of the nation-state. It does this by calling upon international humanitarian and human rights laws and principles and by positioning itself inside and outside the political system at the same time.