The four North Korean delegates, who came to South Korea on Friday and attended the opening ceremony of the 23rd Winter Olympics, met South Korean President Moon Jae-in Saturday at the presidential complex.
The trip by Kim Yo Jong is the latest move in an extraordinary show of Olympic diplomacy with Seoul that could prove to be a major challenge to the Trump administration's hard-line Korea policies.
Earlier on Saturday, Kim invited Moon for talks in Pyongyang, setting the stage for the first meeting of Korean leaders in more than 10 years. "Moon should be aware that he has to urge denuclearisation to North Korea by himself, not depending on dialogue between the USA and North Korea", an editorial in the Yomiuri Newspaper read.
She and Kim Yong Nam, the North's 90-year-old nominal head of state, were seated behind Moon and his wife, while Pence and his wife were seated beside the Moons and Japanese Prime Minister Shinzo Abe.
But Schoff said that by pouring cold water on hopes for better inter-Korean relations, Pence's stance could be viewed as critical of Moon's outreach to North Korea.
The Democratic People " s Republic of Korea (DPRK) and the Republic of Korea (ROK) have vowed to keep the momentum of inter-Korean rapprochement, the Korean Central News Agency (KCNA) reported.
North Korea's leader, Kim, once dismissed as an inexperienced figurehead, has quickly built a reputation as a ruthless dictator at home and a wily strategist in handling North Korea's external enemies.
Every detail of her visit as the key member of a diplomatic delegation to the South's Winter Olympics has been scrutinised, from the clothes she wore and her facial expression to the bag she was carrying and even her handwriting.
As the Trump administration's "maximum pressure" campaign heats up, it increasingly appears effective as fuel prices soar and businesses on both sides of the China-North Korea border fold.
But one of the most widely welcomed moments of Kim Yo Jong's visit was when both she and the North's ceremonial head of state Kim Yong Nam stood as the South's flag was raised and anthem played at the Olympics opening ceremony in Pyeongchang.
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U.S. Defense Secretary Jim Mattis says it's too early to tell if any of the overtures between North and South Korea during the Olympic Games are creating a chance for peace on the Korean Peninsula.
The personal invitation from Kim was delivered verbally by his younger sister, Kim Yo Jong, during talks and a lunch Moon hosted at the presidential Blue House in Seoul.
South Korea said on Monday it will try to arrange more reunions for families divided by the Korean War and seek to lower military tensions with North Korea as the first steps towards establishing grounds for a rare summit between the two Koreas.
"Its delegation and athletes are getting all the spotlight, and Kim Jong Un's sister is showing elegant smiles before the South Korean public and the world".
"I would love the team to get the Nobel peace prize", said Angela Ruggiero, a senior U.S. member of the IOC's executive board, adding she would ask for them to be nominated.
Security for anything involving the North Koreans has been exceptionally tight.
President Thomas Bach plans to visit North Korea after the Pyeongchang Winter Olympics, cementing ties with the reclusive state which used the event to restart political dialogue with South Korea.
"But I haven't been to Pyongyang", Moon said, according to comments provided by his office.
-South Korean war games that North Korea claims are preparation for invasion.
It was the first time an inter-Korean team had competed at an Olympic Games.