MOSCOW — Russian President Vladimir Putin publicly expressed support Sunday for Ukraine’s declaration of a cease-fire in its battle against pro-Russian separatists and called on both sides to negotiate a compromise.

Putin said such a compromise must guarantee the rights of the Russian-speaking residents of eastern Ukraine, who must feel like they are “an integral part” of their own country. Putin’s statement appeared to signal that he sees their future in Ukraine.

Separatists in the eastern Donetsk and Luhansk regions have declared independence and asked to join Russia. Moscow has rebuffed their appeals, but is seen by Ukraine and the West as actively supporting the insurgency. Putin’s conciliatory words came as Russia began large-scale military exercises and after NATO accused Russia of moving troops back toward the Ukrainian border.

Putin appears determined to keep up the pressure to force the Kiev government to give the eastern industrial regions more powers and to prevent Ukraine from moving too close to the European Union or NATO.

But he also wants to avoid more punishing sanctions from the United States and particularly from the European Union, whose leaders will meet Friday in Brussels.