Ius Constitutionale Commune in Latin America (ICCAL) is an academic endeavour that attempts to provide an account of the original Latin American path of transformative constitutionalism, comprising elements from national, transnational and international legal orders, and where the law is placed at the service of the normative trinity of constitutionalism, namely the rule of law, democracy and human rights. In this regard, ICCAL speaks of an Inter-American law that represents a new legal phenomenon, in a region where constitutionalist ideas have allegedly claimed new traction. In this article, I develop two main critiques that can be deemed challenges for an academic project that is still 'under construction', and provide an intellectual map of Latin American constitutionalism that could address these critiques and serve as a roadmap for studying potential Latin American contributions to debates around global constitutionalism.