The article is devoted to immigration problems in the European countries and to their solving options within the European Union. The Mediterranian EU member states keep calling for help insisting that they are unable to cope with the migration stream on their own. The EU countries' solidarity regarding the distribution of material and moral expenditures on the immigrants reception is problematized on meetings at different levels and calls especially sharp debates, particularly in connection with an entry of the Treaty of Lisbon into force and establishment of the new Stockholm Program for the Area of Freedom, Security and Justice by the Council of Europe.