A White House official indicated that it was fair to cast the lack of interaction between Pence and the North Koreans in Moon's box as mutual.
Tensions between the two soared previous year as Pyongyang tested missiles capable of reaching the US mainland and its most powerful nuclear device to date, while Kim Jong Un and US President Donald Trump traded personal insults and threats of war.
In a note she wrote when visiting the presidential office, Kim Yo Jong said "I hope Pyongyang and Seoul will become closer in the hearts of Koreans and will bring unification and prosperity in the near future".
If Moon accepts the offer, it would be the first time a South Korean president entered North Korea since 2007 - and the third time overall. "We get along personally, so I believe that Donald Trump and Kim Jong Un, if they talked, they'd probably get along".
Her exact role in the regime is unclear, but her job is similar to a chief of staff and she regularly reviews the statements and speeches issued by her brother.
That summit didn't amount to much.
From the White House to the hospital
The law enforcement agency, which protects the president, said in a statement that it was not responsible for escorting her off the premises.
Kim Yo Jong, 28, is the first member of the ruling Kim family bearing the bloodline of the sacred Mount Paektu, a centerpiece of the North's idolization and propaganda campaign, to cross the border into the South since the 1950-53 Korean War.
Will this request lead to peace? That, predictably, was the image that North Korea's main newspaper put on its front pages.
The delegation of 22 officials from the North arrived on Friday in order to attend the opening ceremony for the Winter Olympics.
Pence told the defectors that it was important that the truth about North Korea is known during the Olympic Games.
The North Koreans earlier Saturday invited Moon to visit Pyongyang in what would be the Koreas' third summit talks since their 1945 division. A summit now would risk driving a wedge in the alliance between South Korea and the USA, which has sought to maximize pressure on North Korea to pressure Kim into giving up his nuclear weapons.
He has accused Pyongyang of using the event for its own ends.