He also insisted that Washington was on the same page with its allies, saying "there is no daylight between the United States, the Republic of Korea, and Japan on the need to continue to isolate North Korea economically and diplomatically until they abandon their nuclear ballistic missile program".
At Friday's Olympic opening ceremony, athletes from the two nations wore the same white jackets and marched together under a united Korean flag.
International Olympic Committee President Thomas Bach called it "a very emotional moment", one that gave him "goosebumps".
Tensions soared previous year as the North staged a series of nuclear and missile tests in violation of United Nations resolutions, while leader Kim and United States President Donald Trump traded colorful insults and threats of war.
The DPRK leader's sister and special envoy, Kim Yo Jong, and the DPRK's ceremonial head of state, Kim Yong Nam, sat with ROK President Moon Jae-in at a concert in Seoul by the Samjiyon Orchestra from Pyongyang, February 11, 2018. The proposal was announced in a meeting between North Korean leader Kim Jong-un's sister, Kim Yo-jong.
The invitation came during talks and a lunch Moon hosted with Kim Yo Jong, the younger sister of the North Korean leader, at the presidential Blue House in Seoul.
Now engaged in an on-going tiff with the U.S. over its repeated missile tests and nuclear tests, North Korea has been depicted by the United States and worldwide media as a nation that is overly repressed by its Supreme Leader Kim Jong-Un. Now, Kim, 34, has switched tactics to a charm offensive aimed at persuading South Korea to break ranks with Washington, analysts said.
"We would like to see you at an early date in Pyongyang", Kim Yo Jong told Moon before also delivering her brother's personal letter of invitation that expressed his "desire to improve inter-Korean relations", a Blue House spokesman said. "I think it is different from the last 20years", Pence explained.
One specialist said that while dialogue between Pyongyang and Washington was welcome, it was hard to see North Korea making any concessions on its nuclear program in the near future.
While the Winter Games are just starting to heat up this week, already success has been made for a stretch in world peace with the inclusion of North Korea into the games, proving once again how the power of sports can truly change the world. "And it also is a signal that North Korea is not this insane, weird former Cold War state - but it too has young women that are capable and are the future leadership".
In an interview aboard Air Force Two on the way home from the Winter Olympics in PyeongChang, U.S. Vice President Mike Pence told The Washington Post that the administration of President Donald Trump would be open to possible talks with the North.