She said the "gangster-like stand of the us will eventually put the situation in danger".
The remarks follow reports that North Korea may be preparing for another rocket launch.
USA national security adviser John Bolton, who has argued for a tough approach to the North, said last week that Trump was open to more talks but warned of tougher sanctions if Kim did not denuclearise.
The second Trump-Kim summit broke down over differences about USA demands for Pyongyang to denuclearise and the North's request for sanctions relief. But those meetings broke down after the US demanded a full declaration of North Korea's nuclear inventory up front - a "gangster-like demand", according to the regime.
Speaking of the issues regarding the DPRK, Chinese Premier Li Keqiang on Friday urged all parties to remain patient and to seize the opportunity to promote dialogue between the US and the DPRK. Despite previously painting the Trump-Kim summit in Vietnam in a positive light, state news agency KCNA said the meeting hadn't gone as well as expected.
The main obstacle to agreement between the two sides was reportedly the question of sanctions: Washington says it wants all weapons of mass destruction eliminated by North Korea before economic sanctions are dropped, while Pyongyang envisages lifting the main sanctions in return for an only partial dismantling of its nuclear infrastructure. "It's the administration's desire that we continue to have conversations about this".
The Democratic People's Republic of Korea's (DPRK) is stepping up its diplomacy with Russian Federation following the Hanoi summit which halted without a deal with the United States, said Yonhap, after senior officials meeting in Moscow, discussing "a schedule of political contacts".
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"The president is 100 percent committed to denuclearization of the peninsula, and he's going to make sure that whatever we do furthers that process", she told reporters. "And following that we continued to have very professional conversations".
While both said that categorization was "inaccurate" or "wrong", there has been little contact between the two sides since the Hanoi summit ended without a deal, and each country said their offer would not change. However, the problem is that North Korea also has conducted lots of missile and nuclear tests too, so it's too glib to call this a bluff. "I have every expectation we will be able to continue to do that". "I'd like to speak further within the USA government before we respond".
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"We've discussed their reaction and our reaction", Bolton said.
South Korea's Unification Ministry revealed on Friday that a weekly meeting with North Korean representatives at the Kaesong joint industrial complex has been canceled by Pyongyang's request for the past three weeks.
"This time we understood very clearly that the United States has a very different calculation to ours", she added. "In any situation, our government will endeavour for the restart of North Korea-U.S. negotiations", South Korea's presidential Blue House said in a statement. North Korea expert Joshua Pollack said North Korea may be delivering an ultimatum.
Joel Wit of the 38 North think tank said North Korea was likely toughening its negotiating position after the collapse of the Hanoi summit.