The aim of this paper is to investigate the evolutive aspect of the political, economic and commercial development of the Republic of Moldova’s relations with the European Union and the de jure and de facto adhesion to this European Forum. Thus, it argues and testifies that after 2024 the Republic of Moldova will become a titular member of the European Union, also, it counts those 4 evolutive stages of the development of this process. In this way, it is specified the 3rd evolutive stage (2014-2020/24), particularly 2014, of the European integration process of the Republic of Moldova in comparison with Romania and Bulgaria in 2001. It is demonstrated that the European integration of the Republic of Moldova represents a perpetual process, which depends on and coincides with the process of the transnistrian conflict solving, and the signing the Republic of Moldova - EU Association Agreement and Deep and Comprehensive Free Trade Agreement represents the effect of advancing to a new evolutive phase. These agreements substantiate on vertical and horizontal dimension of the economic relations with the European Union. So, it is noticed that the success of this progress represents the new agreements with favorable clauses for the Republic of Moldova in comparison with the previous ones, stipulated in the Partnership and Cooperation Agreement. As a consequence, it appears the passage to new phase of relation development with EU in comparison with the Partnership and Cooperation Agreement signed in 1994. Consequently, in a different hypothesis, it is put forward the idea of the accelerated advancement of the adhesion process of the Republic of Moldova to the European Union after 2020, provided the resolution of the transnistrian conflict till that period, the gain of new market places of national products, the independent development of an economy based on renewable energy resources, such as eolian and solar energy etc. The liberalization of viza regime in 2014 represents the sine qua non condition of the intensification of the republic of Moldova relations within new geopolitical circumstances and creates real conditions for the acceleration of this economic integration process.