But a senior North Korean diplomat has said Pyongyang was open to having talks with Washington under the right conditions. He is a liberal who, as a student activist, was imprisoned by Park Chung-hee, the father of the last president.
But in an apparent nod to the new administration of Moon Jae-in, the editorial insisted that peaceful unification can't be achieved if the South "follows the outsiders which attempt to divide and infiltrate the DPRK".
Before leaving Seoul for Beijing, Lee said Moon could meet Xi as early as July at a Group of 20 summit in Germany, while a separate meeting could also be possible in August.
Pyongyang said Seoul should "firmly split with the old-fashioned era" of following foreign powers and being hostile to Pyongyang.
He is quoted as saying that South Korea had not yet received official word from the United States on whether Seoul should pay for USA missile defense THAAD. Given the US commitment to South Korea's defense, this is an opportunity to explore a more nuanced opening to the North.
"It is actually North Korea trying to intimidate the worldwide community", Haley said, "and Russian Federation itself should be concerned because that ballistic missile test was a signal to South Korea for their new elections, it was a signal to Russian Federation in how close it got, it was a signal to Japan being in the region, and it was a signal to us".
Kim started the press conference praising the North's successful ballistic missile launch last weekend, which experts said demonstrated a significant technological jump with the rocket flying higher and for a longer period of time.
South Korea's President Moon Jae-In (C) and cabinet members attend an emergency meeting of the National Security Council (NSC) at the presidential Blue House in Seoul on May 14, 2017.
A previous missile launch ended in failure just minutes into flight.
Despite the push for a tougher stance, Haley held out the prospect of direct talks with North Korea, saying "we are willing to talk but not until we see a total stop of the nuclear process and of any test there".
Kim singled out as "more serious" the push by the USA for a new sanctions resolution and the Trump administration's demand for all countries "to decide whether they support for DPRK or U.S".
Ministry spokesman Lee Duk-haeng said "various internal reviews" have been conducted but a final decision on restarting the phone line at the Panmunjom liaison office has yet to be made, News 1 reported.
And the launch was made as a warning aimed at the USA who have made their presence known by sending warship Carl Vinson into North Korean waters.