The North also had expressed readiness to hold a similar event with the President of the United States.
Kim and Ri Sol Ju watched the troupe perform choreodrama "Red Women Company" at the East Pyongyang Grand Theatre on Monday, the Korean Central News Agency said.
But in late March, Kim made a visit to Beijing, his first known journey overseas since he took power in 2011.
Kim, in a meeting with Song on Sunday, said he was personally meeting the visiting performers out of respect for Chinese President Xi Jinping and said he wanted to launch a "fresh phase of development" of relations between their countries.
Senior South Korean officials may visit Pyongyang ahead of next week's summit between President Moon Jae-in and North Korean leader Kim Jong Un, a senior South Korean official said on Tuesday, Reuters reports.
Kim met Song on Saturday to exchange "deep thoughts" on global issues of concern to North Korea and China and vowed to improve bilateral relations, according to the state media.
North Korea's ties with China, its sole major ally, had become strained over the past couple of years over the North's contentious missile and nuclear tests, which China disapproves of. He will be the first North Korean leader to step on South Korean soil since the 1950s.
"Given the historical importance of the upcoming summits [inter-Korean Summit and the DPRK-U.S. Summit], the President of the Republic of Korea can not leave the country".
He stressed that Seoul will therefore make efforts to communicate with the United States as the country and North Korea work on their summit.
Minister Abdrakhmanov made the statement after the meeting with his South Korean colleague Kang Kyung-wha in Astana on April 17 and ahead of the historic summit between the Republic of Korea and the DPRK set to be held on April 27.
The Munha Ilbo report said one possible way of ending the conflict could involve reverting the heavily fortified Demilitarized Zone that bisects the two Koreas to its original state.
A successful Moon-Kim summit could help pave the way for the Trump-Kim meeting, which would be the first between a sitting USA president and a North Korean leader.
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