Moon responded that he hopes that the right conditions will be created so that the proposed visit can take place. It was just a matter of time before the North Korean leader asked Moon to visit.
They were seated not far from a section of North Korean cheerleaders who are attending the Olympics in a sign of warming ties between the two Koreas that Pence and other US officials have warned against.
Pence is viewing the short-track competition, in which eight Americans are participating.
The Samjiyon Orchestra crossed the military demarcation line at 11:25 a.m.to return home after a seven-day stay in the South, according to a pool report.
According to analysts, North Korea's display at the Winter Olympics in South Korea, as well as sending North Korean leader Kim Jong-Un's own sister Kim Yong Nam to lead the Pyongyang delegation is not without goal.
President Thomas Bach will visit North Korea after the PyeongChang Winter Olympics, Reuters reported on Monday. One of the meetings resulted in a personal invitation for Moon to visit Pyongyang, delivered by Kim Yo Jong.
The two Koreas have been divided since the conflict ended in a ceasefire in 1953, and the democratic South has risen to become the world's 11th-largest economy, while the North has stagnated under the Kim family's rule.
Kim Yo-jong meets South Korean president in Seoul as thaw continues
South Korea's Unification Ministry said Monday that the dialogue would be led by the two Koreas with cooperation and support from worldwide partners.
What Is That Mark on US Figure Skater Mirai Nagasu's Thigh?
The Canadians held the lead with 63 points through the men's and women's free skates, and would not be caught. Team Canada won the gold while Russian Federation earned silver in figure skating's team event.
Spencer O'Brien finishes 22nd in women's slopestyle
Four years after she won gold in snowboard slopestyle's debut in the Games, Anderson claimed another here in Pyeongchang. She will compete in big air, scheduled for February 23, which makes its Olympic debut in PyeongChang.
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.
The north's state-run agency said the talks were warm but added they were frank and candid.
Al Jazeera reported Saturday that the North Korean delegation, now attending the 2018 Winter Olympics being hosted by their southern neighbor, delivered the invitation letter to Moon "at a landmark high-level meeting at the presidential palace in Seoul".
He arrived late for a pre-opening ceremony reception hosted by Moon and stayed for only five minutes before leaving for a scheduled meeting with US athletes, without even shaking hands with the DPRK delegation head Kim Yong Nam, president of the Presidium of the DPRK Supreme People's Assembly. Experts say North Korea may see a drop in exports of up to 90 percent this year due to sanctions, which are unprecedented in their severity.
The officials toasted with the Korean liquor "soju" and were served buckwheat and potato pancakes, dried pollock soup, grilled halibut and other dishes.
For the finale of the concert, Seohyun, a member of South Korean pop group Girls' Generation, and North Korean female singers, sung together the North Korean song "Let's Meet Again" and a famous Korean song titled "Our Wish Is Unification".
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.
Saturday's meeting follows a brief encounter between the two parties Friday at the Olympics Opening Ceremony, in which Moon twice shook hands with Kim Yo Jong.
It's unclear whether the occasion could be used to set up bigger meetings between the Koreas to ease tensions.