US Secretary of State Mike Pompeo said last week the United States would not be able to arrange meetings with North Korea in September but Washington was ready to hold meetings and believed it was important to do so.
In a speech to the UN General Assembly, Pyongyang's ambassador to the United Nations, Kim Song, said it was time for Washington to come up with proposals for talks, according to Reuters.
"Assuming that the United States had time to formulate an approach that could be shared with us, we would like to sit down with the United States to discuss thoroughly the issues we are discussing so far," Kim said.
On the final day of the annual meetings of world leaders at UN headquarters, the ambassador called for full implementation of a statement by Trump and North Korean leader Kim following their first meeting in Singapore in June last year. The two agreed in a joint statement at the time to establish new relations between the two countries and work for the complete denuclearization of the Korean Peninsula.
"It has been more than a year. Relations between the Democratic People's Republic of Korea and the United States have made little progress so far and the situation on the Korean Peninsula has not escaped the vicious circle of escalating tension," Kim Song said.
"It depends on the United States on whether the talks between the Democratic People's Republic of Korea (DPRK) and America will become an opportunity or an opportunity that will accelerate the crisis," he said.
US National Security Adviser John Bolton, who was ousted by President Donald Trump three weeks ago, said in a speech on Monday that North Korea had no intention of giving up its nuclear weapons and was benefiting from a stall in its standoff with Washington.
The North's UN mission said North Korean Foreign Minister Ri Yong-ho had not traveled to the United Nations this year "because of his schedule." Rey attended high-level United Nations meetings in New York over the past three years.
Trump only briefly referred to North Korea during his speech to the General Assembly last week, telling representatives of the 193 member states that he was pursuing "bold diplomacy" with the North Korean leader.
"I told Kim Jong-un what I really think: He, like Iran, is full of untapped potential, but to fulfill that promise, North Korea must denuclearize," Trump said.
During his first UN speech in 2017, Trump threatened to wipe out North Korea, but since June last year he has met three times with its leader Kim in an effort to persuade Pyongyang to dismantle its nuclear and missile programs.