Since the 1980s inequality has been rising in Europe, North America and parts of Asia. How does our understanding of global inequality dynamics change if coverage is extended to the rest of the developing world? To rebalance the perspective on global inequality trends, this paper surveys data and literature on recent inequality trends in Latin America, Asia, Africa and the Middle East. It finds that in these regions there are more countries with falling than rising inequality over the past 20 years, as measured by ginis of income or consumption inequality. At the global level, therefore, there are signs of inequality convergence, as inequality has been falling in countries with high inequality in the 1990s (particularly Latin America), and rising in historically low-inequality countries. We discuss the political and economic drivers of inequality decline in countries with a steady fall in the gini. This suggests some common trends across the globe, including the role of democratization, the rise of new social movements, the expansion of education and social safety nets and favourable commodity prices, in reducing income disparities. This paper calls for more country-level comparisons of inequality trends, to highlight the multiplicity of paths in this latest phase of globalization.