Pvt. Travis King King bolted into the North while on a tour of the southern side of an inter-Korean truce village.
The two leaders’ interests are aligning in the face of their separate, intensifying confrontations with the United States.
The meeting has sparked Western concerns about a potential arms deal for Moscow’s war in Ukraine.
The two leaders are expected to discuss North Korean supplies to assist Russia in its ongoing war in Ukraine.
Estimates say the reclusive and isolated Asian country has tens of millions of artillery shells and rockets that could give a huge boost to the Russian army.
The New York Times on Monday reported that Kim is planning to travel to Russia, likely using an armored train, this month to hold talks with the Russian president.
North Korea says a U.S. soldier who bolted into the North last month did so after being disillusioned at the inequality of American society.
Kim and Sergei Shoigu talked about military issues and regional security, said North Korean state media.
North Korea has been silent about the highly unusual entry of an American soldier across the Koreas’ heavily fortified border.
An American soldier was detained after crossing the border from South Korea into North Korea, U.S. officials told The Associated Press.