South Korean Prime Minister Lee Nak-yon hosted a lunch session for a high-level North Korean delegation at the Walker Hill Hotel here on Sunday.
But the rapprochement pushed by South Korean President Moon Jae-in has angered conservatives who accuse him of being a North Korea sympathiser. When asked what exact steps North Korea would have to take to get sanctions relief, he said: "I don't know".
Ms Kim, who arrived in Seoul last Friday to attend the opening of the Pyeongchang Winter Olympics, presented Mr Moon with a letter from her brother which stated his willingness to improve inter-Korean ties.
A senior administration official said Moon did express to the vice president that he hoped there could be some potential interaction between Pence and the North Korean delegations during the games - something that did not occur.
Ms Kim is the first member of North Korea's ruling dynasty to set foot in the South after the two sides separated following the Korean War in the early 1950s.
North Korea agreed to participate in Pyeongchang after the South and International Olympic Committee encouraged the heavily sanctioned state to participate as a gesture of peace. Kim Jong-un is merely trying to use the South Korean government as a shield to protect him against intensifying global pressure, and he thinks the most effective way to do that would be to hold an inter-Korean summit.
But "unification" is only peaceful and warm when the word is used in the context that South Korea does.
The art troupe's performances were the first concerts by North Koreans in the South since 2002, when Pyongyang sent a cohort of 30 singers and dancers to Seoul for a joint event.
Now, South Korea's allies must decide whether to stand back and allow Moon to pursue his policies of reconciliation, or put the screws back on to Pyongyang. Pence conferred with U.S. President Donald Trump every day he was in Asia. It warned against agreeing to talks before North Korea scrapped its nuclear program, saying it would only "benefit the enemy". "So the maximum pressure campaign is going to continue and intensify".
It was supposed to be a moment of celebration - the first time in history that athletes from North and South Korea had played together in an Olympics.
Proving wrong its perceived image, is a 229-member all-female North Korean cheer squad, that stole the show during the ice hockey match on Saturday.
Vice-President Mike Pence's plan to use his trip to the Winter Olympics in Pyeongchang to further isolate Pyongyang didn't go very well.
The source added, however, that North Korea could still be willing to work with the United States on a "comprehensive and integrated agreement", under the right conditions -- adding "denuclearization could mean many things", including an agreement to suspend missile and nuclear tests in exchange for limited recognition or acceptance of its nuclear status.