Israel wished Trump success, he said, adding: "I'm not going to say [anything] beyond it".
"It's about attitude. It's about willingness to get things done".
Balakrishnan, who went to Washington earlier this week, will meet his North Korean counterpart, Ri Yong Ho, and the president of the Supreme People's Assembly and ceremonial president, Kim Yong Nam, during his two-day visit to Pyongyang, a government statement said.
"The summit is all ready to go", Trump said, with Abe at his side. I think they've been preparing for a long time also.
Trump also reiterated his position on a series of other issues, making clear the US, South Korea, Japan and China will help North Korea's economy if a deal is reached.
"It is pointing out that the president is the stronger figure", Mr Giuliani, who is Mr Trump's lawyer, said.
USA allies in the region have expressed concern that Trump's push to denuclearise Korea could ignore the North's sophisticated ballistic missile and chemical weapons programs.
"I think that denuclearizing one state is enough for me", the prime minister replied, apparently referring to his staunch opposition to the 2015 Iran nuclear deal. In remarks to reporters following his meeting with Kim Yong-chol last week, President Trump described the meeting as "getting-to-know-you meeting plus", emphasizing that denuclearization and diplomatic rapprochement is a "process" and he does not expect an end to bilateral tensions after one meeting. "It would be wonderful if it were". National Security Council spokesman Garrett Marquis noted the president met with Secretary of State Mike Pompeo and National Security Adviser John Bolton on Thursday afternoon "to continue their strategic discussions" ahead of the summit.
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North Korea has argued for a "phased" approach to denuclearisation of the entire Korean peninsula, which in the past has also meant removal of the US nuclear umbrella protecting Washington's allies South Korea and Japan. "We would certainly like to see normalization".
Trump pulled out of President Barack Obama's nuclear accord with Iran over the objections of European allies.
The two diplomats also confirmed a policy of urging North Korea to take concrete steps toward abandoning all of its weapons of mass destruction, as well as the country's ballistic missiles of any range, including short- and medium-range missiles that threaten Japan's security.
Mr Abe most recently traveled to the USA in April to meet with Mr Trump at his Mar-a-Lago estate in Florida, where he warned trump of North Korean negotiating ploys and urged him to closely coordinate with Japan ahead of the summit. But Trump on June 1 announced the summit was back on.
Sputnik: Why is it that some of Trump's senior staffers seem to be doing everything they can to scupper these talks? Trump has previously promised to raise those cases, which are politically sensitive in Japan, and he made a point Thursday or mentioning the issue in public.
"He has indicated to me personally that he's prepared to denuclearize". Subject always to change.