Russia says it invaded Ukraine to halt Kyiv's ambitions to join NATO, the U.S.-led defensive alliance, which it saw as a major security threat. It also accuses Kyiv of persecuting ethnic Russians and their culture in Ukraine.

Putin "plays with the desire of the U.S. administration to bring peace to Ukraine," Zahorodniuk said. "Putin wants to get the U.S. on their side to get all Donbas, something they cannot achieve without losing another few hundred thousand people and a year of time."

The Russian leader senses a chance for more international recognition, while his American counterpart hopes to play peacemaker.