Much mainstream political philosophy assumes that states have a broad right to decide who is granted entry and membership into their political community. On this conventional view, admission of migrants and refugees is understood as mostly a matter of general humanitarian duty or voluntary beneficence rather than as a specific obligation of justice. Through an analysis of climate-related migration from Central America's Dry Corridor to the United States, I argue that many such migrants may in fact be owed admission as reparation for injustice, and that the character of this injustice raises broader challenges for the conventional view.