“How can global “constitutional problems”, such as human rights violations by corporations or the catastrophic risks of global capital markets, be dealt with? Societal spheres have to develop their own self-limitative structures, Gunther Teubner suggests in his recently published book “Constitutional Fragments”. The conference on “Transnational Societal Constitutionalism” discussed this idea and analyzed under which conditions such constitutional structures emerge and where in social reality they can currently be observed. The following questions became relevant during the conference: