Cooperation between European Union and Russia offers plenty opportunities to European continent and beyond its boundaries. Eastern Partnership is the main connection but also a barrier of Russia and EU because of their common neighbourhood with countries which are not members of the EU, and also do not want to be under continuous Russian influence. For countries that are not members of the EU, European Union developed European Neighbourhood Policy which cooperates with South and East neighbours so it could achieve close and sustainable political community and the highest possible level of economic integration. Russia is not a member of this instrument but instead it developed four common spaces with EU, economic space, freedom, security and justice, external security and research and education, including cultural aspects. The most important areas of cooperation between the two sides are the one in energy sector with established Roadmap until 2050, cooperation in science, technology and innovation which is included as the main priority of Europe 2020 and it is also important the development of the research infrastructure in Russia.