The article is based on a critical cosmopolitan outlook on dialogue as not aimed at reaching consensus, but rather keeping dialogue of difference open, with the ability to reach common understanding of human rights on conflicting grounds. Intersectional dialogue is used as a concept that opens up possibilities to study, in a pragmatic sense, the ‘cosmopolitan space’ in which different axles of power met in the historical drafting of human rights. By enacting analysis of United Nations (UN) documents from 1948 on the process of drafting the Universal Declaration on Human Rights (UDHR) the conceptualization of intersectional dialogue is put to work. The utopian foundation for deliberative democracy as dialogue in the absence of power and interest does not acknowledge the reality in which the human rights were negotiated and debated. The paper questions the dominant narrative of a western philosophical ground for the universality of human rights.