The minister announced this at a press conference following the session of the Russia-EU permanent partnership council.
However, May 10 is not the deadline for the achievement of necessary results, Lavrov said.
"Russia and the EU can defend their interests but we hope to find mutually beneficial solutions of all problems," the Russian minister noted.
According to him, the sides have achieved an agreement on the external security space based on equal and mutually beneficial partnership.
"Our cooperation in this sphere covers a whole range of issues, including conflict settlement," Lavrov said.
Russia and the European Union come out for settlement in Kyrgyzstan in compliance with the Constitution of this country.
"We discussed the situation in Kyrgyzstan and reaffirmed our common positions on the Kyrgyz settlement," the minister said.
European Commissioner Benita Ferrero-Waldner also believes that the Kyrgyz conflict should be settled by legal means.
The Russian delegation at the session of the Russia-EU permanent partnership council was headed by Foreign Minister Sergei Lavrov and the delegation - by European Commissioner for External Relations and the European Neighborhood Policy Benita Ferrero-Waldner and Foreign Minister of Luxembourg Jean Asselborn.