On Saturday, the influential sister of North Korea's leader said that an inter-Korean summit could be held only if mutual "respect" and "impartiality" are guaranteed.
It was Kim Jong Un's sister and key advisor Kim Yo Jong's second statement in two days.
On Friday, she urged Seoul, after the South Korean President called for an official end to the state of war with the North, to end its "hostile policies" towards Pyongyang.
The war between 1950 and 1953 ended in a truce, not a peace treaty, which for over half a century technically placed Seoul and Pyongyang in war.
The Inter-Korean Summit between her brother, Ms. Kim said in a statement from Pyongyang's official KCNA news agency that "only impartiality and the attitude of mutual respect are guaranteed."
She also said that a summit could take place "at an early date through constructive discussions" together with discussions on a declaration to end the war.
"There is no need for the North and the South to waste time faulting each other and engaging in a war of words," she added.
She also reiterated Friday's call for the South in an apparent reference to Moon's criticism of the launch of the North's recent missile.
Last week the south successfully tested a ballistic missile launched underwater (SLBM), which made it one of a handful of advanced technologically advanced nations.
This month alone, North Korea carried out two missiles, one with a cruise missile long-distance and other ballistic missiles short distance.
In the wake of a second United States-North Korea summit in Hanoi which struck in February 2019, communications between the North and the Suth were largely curbed as President Donald Trump and Kim could not agree on terms.
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