In the article is studied the relationship of the Republic of Moldova, Ukraine and Georgia with European Union, the current situation of these states within Eastern Partnership and European Neighborhood Policy. Authors, also, underline the necessity of consolidation of both, bilateral and multilateral cooperation among partner states, as well as the improvement of existing individual and common working mechanisms on the advancement of European integration process of countries. In this context, is underlined the importance of newly signed memorandum of understanding on establishing cooperation on European integration by the Republic of Moldova, Ukraine and Georgia. This memorandum reflects the necessity for the three states to have a more ambitious approach of European integration as well as a necessity of a rethinking of Eastern Partnership framework in general.