Organizing international scientific cooperation and creating conditions for joint research of Russian and foreign scientists, in the first place, mathematicians, are the main problems of Euler International Mathematical Institute that became a department of PDMI in 1996. EIMI is located in a separate building at 10 Pesochnaya naberezhnaya, appropriately equipped for conferences numbering up to a hundred persons and for individual work of mathematicians coming to St. Petersburg. EIMI has a network of computers with Internet connection. Every year EIMI organizes about 10 international working meetings and conferences. It also conducts a long-term program of scientific cooperation "Tete-a-tete in Russia", whose aim is to organize meetings of Russian and foreign scientists for joint work in St. Petersburg.