To analyse the globalization-wages-inequality relationship, we extend the North-South Heckscher-Ohlin-Samuelson (HOS) model by assuming (i) that the size of the South (emerging countries) increases over time, (ii) that the North (advanced countries) and the South have very different factor endowments, (iii) several northern and southern countries with different skill endowments, and (iv) North-South technological differences, productivity catching up and technological transfers. The model generates three phases of globalization, corresponding to different production patterns and to specific changes in inequality in the North and in the South. In the North, inequality continuously increases and unskilled workers purchasing power continuously decreases during the first phase of globalization, and inequality diverges across countries. In the South, very different profiles in terms of inequality dynamics are possible, depending on the country’s skill endowment and on the its technological gap with the North. Unlike the traditional North-South HOS approach, the model’s predictions fit with observed facts.