This chapter presents three cosmopolitan approaches to global health care justice: Thomas Pogge's negative duties based approach, Gillian Brock's minimal needs view, and Henry Shue's model of basic rights. While these approaches share a common focus on attempting to justify the existence of global duties to aid, held by the wealthy and owed to the global poor, each offers a distinct interpretation of why such duties exist and suggests a range of options for fulfilling them. Importantly, while the chapter argues that Shue's approach to global duties is the most effective of the three, it considers that they all offer important insight into the problem of global poverty and provide a variety of possible practical solutions to this problem.