During the phone call, Trump underscored the determination of the US to defend itself and its allies from the growing threat posed by the North Korean regime, the White House said.
The US intelligence community's assessment is that the North Korean missile, the TD-2 is capable of reaching the United States with a nuclear weapon-sized payload.
"President Trump believes that Kim has an unprecedented opportunity to change the trajectory of our relationship and bring peace and prosperity to his country," Pompeo said.
New images show the portly North Korean dictator looking more overweight than ever as he offers "field guidance" on a state farm.
'No matter how severe sanctions the UN security council imposes on North Korea, the impact of the sanctions would depend on how faithfully they are enforced by China,' says Dr Rajaram Panda.
Sanctions against North Korea following its H-bomb test could have serious repercussions and may prove disastrous for all the players involved, says Debalina Ghoshal.
However, Kim gave no indication of Pyongyang willing to give up its nuclear weapons
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The latest launch came just five days after Pyongyang fired two short-range ballistic missiles.
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The trip was the highest level meeting with a North Korean leader since 2000 when then-Secretary of State Madeleine Albright met Kim Jong-il, the father of the current leader, in Pyongyang.
'Hardliners who are against denuclearisation may be working secretly on North Korea's nuclear activities, despite official claims that dismantling its nuclear arsenal has already begun.'' 'Does it mean that Kim does not have full control over the military,' asks Dr Rajaram Panda.
Trump had said that North Korea changed its approach towards the summit after Kim had his second meeting with President Xi Jinping in China.
The Vietnamese coastal city of Da Nang has been chosen for the meeting in late February.
'Despite much hype of optimism, everyone went home empty-handed without a clear picture where they are heading in the future,' notes Dr Rajaram Panda.
Xi-Kim meeting took place amid concern in Beijing that the North Korean leader is getting too close to US sidelining China pointing to its declining importance in the Korean Peninsula peace process.
We bring you a collection of some of the best photographs taken this week by ace Reuters photographers.
The Korean summit, laden with symbolism in everything from the choice of location to the mango mousse for dessert, could just be the first round in a continuing dialogue, says Dr Rajaram Panda.
From the Syrian civil war to the Ukrainian crisis to the terror unleashed by the dreaded Islamic State, there was no lack of news in 2014. In this five-part series, rediff.com presents a selection of the year's most enduring moments year from around the world.
Trump also announced the appointment of Gina Haspel to head the Central Intelligence Agency -- the first woman selected for the agency's top post.
It is the country's second aircraft carrier, after the Liaoning, and the first to be made domestically.
It was the most searched word on Merriam-Webster in 2017.
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'Vietnam has become an adjective as well as a verb -- the Americans, for instance, were driven by the passion to do a 'Vietnam' on the Soviet Union when that country invaded Afghanistan in 1979.'
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