What kinds of principles of justice should a cosmopolitan support? In recent years some have argued that a cosmopolitan should endorse a Global Difference Principle. It has also been suggested that a cosmopolitan should support a Principle of Global Equality of Opportunity. In this paper I examine how compelling these two suggestions are. I argue against a Global Difference Principle, but for an alternative Needs-Based Minimum Floor Principle (where these are not co-extensive, as I explain). Though I support a negative version of the Global Equality of Opportunity Principle, I argue that a more positive version of the ideal remains elusive.