Despite Pence's remarks, the current administrations in Washington and Seoul have at times adopted contrasting tones when it comes to North Korea.
Pence led the US delegation to the games this week, where he refused to meet with North Korean officials on Friday.
Tong Zhao: If it can take place, I think it would represent a major breakthrough in the inter-Korean relationship.
It's by far the most sustained public presence for Kim, who had been something of a mystery to many South Koreans, despite her known role in North Korea's politburo.
Mattis showed skepticism in calling these meetings a sign of progress between the two neighboring countries.
Tong Zhao: Oh, absolutely.
Though it has no real medal contenders and sent only 22 athletes, North Korea has turned out to be a major political player in Pyeongchang.
However, some experts argue that while Kim Yo-jong's visit may lay out the foundation for smoother inter-Korean ties after the PyeongChang Olympics, it is too early to link it to a summit. That sends an implicit message that North Korea can maintain its nuclear weapons and still be welcomed by the global community to participate in this important worldwide event.
Yoon Young-seok, an opposition party member of parliament and chairman of the foreign affairs and unification committee, said he is skeptical of the initiative because it doesn't contain a specific plan toward getting North Korea to abandon its nuclear program.
Kim Yong Nam, the North's ceremonial president, said "even unexpected difficulties and ordeals could be surely overcome and the future of reunification brought earlier when having a firm will and taking courage and determination to usher in a new heyday of inter-Korean relations". How likely is this resumption at this point?
"We will not allow North Korean propaganda to hijack the message and imagery of the Olympic Games", Pence said. He has to cater to the wishes on both sides, and his wiggle-room is very small. North Korea has to make some concessions about its nuclear weapons. Who knows? We'll have to see.
The US has given mixed signals about its willingness to talk. "And we hope you take the comment as it is".