The Eurasian Economic Union is interested in development of cooperation with external actors. The Association of Southeast Asian Nations is considered as a prospect partner. ASEAN states play a significant role in economy and international relations in the Asia-Pacific region. The ASEAN is seen as one of the key institutions in Asia-Pacific integration. Moscow keeps stable and friendly relations with many states of Southeast Asia and the ASEAN. It lays a solid foundation for development of a dialogue in Eurasian format. The EAEU signed with Vietnam a free trade agreement in 2015 and it is negotiating on similar treaties with some other states of the ASEAN. The Association expressed readiness to consider the issue of a comprehensive free trade zone between the EAEU and the ASEAN. In November 2018 the Eurasian Economic Commission and the ASEAN Secretariat adopted a memorandum of understanding. The dialogue in Eurasian format can accelerate cooperation between states of the EAEU and Southeast Asia and create more benevolent conditions for alignment of the EAEU and the ASEAN.