South Korean President Moon Jae-in shakes hands with Kim Yo Jong, the sister of North Korea's leader Kim Jong Un, in Seoul, South Korea in this undated photo released by North Korea's Korean Central News Agency (KCNA) February 10, 2018.
Mr Moon's spokesman Kim Eui-kyeom said that Mr Kim's sister verbally delivered his offer during a lunch meeting with Mr Moon at Seoul's presidential palace.
It cemented what has been a rapid improvement in Korean ties since North Korea - after months of fierce nuclear rhetoric and missile tests - agreed last month to attend its first Olympics in the South.
North Korea has emerged as the early favorite to grab one of the Winter Olympics' most important medals: the diplomatic gold.
"We should firmly keep in mind that any talks where denuclearisation is not a precondition only to buy North Korea more time to complete its nuclear capabilities while they fool us with their peace offensive facade", said Chang Je-won, a party spokesman said, according to Reuters.
What did seem clear was that, deliberately or not, the North Korean government had managed to edge its way onto center stage during the South's biggest global moment in years.
Kim Yo Jong, the first member of the North's ruling dynasty to venture South since the Korean War, forms part of the highest level delegation ever to cross the border.
One protester, who gave her name only as Laila, told CNN she was angry at President Moon.
"The 23rd Winter Olympics opened in Phyongchang of south Korea", KCNA wrote in English, using an alternate spelling for the Olympic city and, notably, the lower-case "south" a style it uses to show it does not endorse the names "South Korea" and "North Korea".
For the people of the Korean Peninsula, that was likely more significant than Pence's non-interaction with Kim Yo-jong.
Others, such as 23-year-old Yoon Jun-young, were angry that that North Korea's participation on the worldwide sporting stage had come without any political concessions.
Not long after, North and South Korean athletes entered Olympic Stadium together, waving flags showing a unified Korea - the longtime dream, in theory at least, of many Koreans both North and South.
In Pyeongchang, though, the two Koreas avoided talk of sanctions and basked instead in Olympic goodwill, which was nowhere more evident than on Saturday night when a joint Korean women's ice hockey team took to the ice.
"Now is not the time to postpone U.S".
Moon made it clear that the issue was an internal affair and that it was inappropriate for Abe to have brought up the matter, Reuters reported.
Just days into the 2018 Winter Olympics, it is clear that it will be remembered as much for political gymnastics as sporting prowess.