The article examines the situation in the sphere of economic integration and entrepreneurship within the Eurasian Economic Union, related to the pandemic of coronavirus infection, proposed possible measures aimed at transforming the economy as a whole well as a gradual way out of the crisis. As a result of the implementation by most countries of the world of measures to limit the spread of COVID-19 virus infection, there was a drop in financial markets and commodities prices. It also caused a significant deterioration in the external situation for the EAEU. Forecasts of the situation indicate the beginning of the global recession, comparable in magnitude to the financial and economic crisis of 2008–2009 (in an optimistic version) or the Great Depression of the 1930s (in a pessimistic scenario). In 2020, world trade was expected to contract by tens of per cent, a sharp drop in economic activity in the EU, a slowdown in China, which accounts for the bulk of foreign trade of the EAEU countries.