On the World scale, inequality among countries, after a remarkable increase until the the early 1950s, began to diminish from then on. This downward trend accelerated in the last decades as a consequence of the high rate of growth of developing countries such as China and India and the low growth rate of the advanced countries. Among the Mediterranean economies, in contrast, inequality increased continuously because of the expansion of big European economies in the North (Italy, France, Spain, Portugal). Only during the last decade, the economies of the South and East Mediterranean began to rise and the distance from the North in terms of per capita GDP to narrow. The convergence, although slow, intensified with the recent international crisis, which struck more the advanced economies in the North than those of the rest of the Mediterranean. The article analyses the trend of the inequality in the 25 economies of the Mediterranean and the prospects of a future convergence.