North Korea and South Korea may be close to engaging in a summit that could potentially end their long war. The suggestion was prompted Saturday by North Korea and South Korea accepted the idea on Sunday.

A summit was agreed upon by the two only if mutual respect between them could be assured, said Kim Yo Jong, the sister of leader Kim Jong Un, according to KCNA, North Korea's state-run news agency.

"I think that only when impartiality and the attitude of respecting each other are maintained, can there be smooth understanding between the north and the south," said Kim Yo Jong.

The Unification Ministry of South Korea said when agreeing to the summit that a restoration of a relationship between the Koreas is needed.

In Kim’s statement on Saturday, she mentioned that North Korea and South Korea have a similar ambition, “to recover the inter-Korean relations from a deadlock and achieve peaceful stability as soon as possible.”

She believes that this can be accomplished through, “the reestablishment of the north-south joint liaison office and the north-south summit, to say nothing of the timely declaration of the significant termination of the war.”

North Korea's main request is for South Korea to remove the “hostile policy” and “double standard” on military activities. This must be agreed upon by the U.S., as well, which would rely on North Korea’s nuclear weapon decisions.

North Korea and South Korea fought from 1950 to 1953, with the U.S. military aiding South Korea. The fighting ended in a stalemate.

For decades, the U.S. has pushed for North Korea to end its nuclear weapons program.

Addressing the U.N. General Assembly on Tuesday, South Korean President Moon Jae-in repeated calls to end the Korean war.

"I once again urge the community of nations to mobilize its strengths for the end-of-war declaration on the Korean Peninsula," Moon said.

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