Little is known about the convergence process among developing countries in general and in Latin America in particular. For the period as a whole there is no evidence of a narrowing in the cross-country dispersion of income (sigma convergence). But there is evidence of convergence to different steady state income levels at a speed that is common to all countries (conditional beta convergence). The article also shows that the estimates of convergence are sensitive to the way in which GDP per capita is measured.