The aim of this paper is to apply the concept of marginal vertical income convergence to analyze the influence of the two last economic downturns (2007 and 2020) on the sustainability of the equalization of income levels within the European Union. The methodology used enables us to avoid some restrictions of the classical analysis of income convergence. Income convergence models were estimated using data from the period 1993–2022, excluding the impact of outliers. The results confirm that we can observe the progressive process of the absolute income convergence for EU members, but there are significant differences between countries’ contributions to the process. These differences are caused by different paths of economic growth, and different mean resilience to economic crises, as well as different patterns of income inequalities. Their proper recognition allows us to develop efficient policies aimed at social cohesion, reducing income inequalities (the 10th Sustainable Development Goal), and sustainable economic development. Additionally, the estimated models indicated a definite different impact of the last two economic shocks on the European process of income convergence. The first shock significantly slowed down the income convergence process, while the second one was practically neutral in this context.