As set forth in the Maastricht Treaty, the objective of establishing the Economic and Monetary Union (EMU) was based mainly on the need to achieve nominal convergence. However, the global economic and financial crisis has since proved that the EMU architecture is not solid enough. Therefore, EU institutions and member states have developed and started to implement plans for the completion of the EMU. The main focus of these plans up to 2025 is on institutional and regulatory reform. However, more attention should be paid to other types of convergence: real convergence, social convergence, financial convergence, cyclical convergence and structural convergence. This would lead to sustainable and strong all-round convergence in the EMU. This article outlines recommendations for the completion and sustainable maintenance of the EMU, concentrating on social, financial and cyclical convergence.