This article argues that hegemonic cosmopolitan narrativity fails to frame a complex cosmopolitan normativity. The hegemonic cosmopolitan narrative celebrates a mobile selfhood merely hospitable to the encountered, mobile diversity that comes ashore. A recent educational-theoretical "refugee-crisis" initiative serves as an illustration of the normative shortcomings of the new cosmopolitanism. The implicit normativity of the dominant cosmopolitan narrativity is, I claim, politically too weak to cover the normative surplus of a more critical cosmo-politics. Cosmopolitanism should be recast to make higher ethico-political demands on the global self and world for the cultivation of neglected ecological and relational sensibilities.