Trump and Kim shake hands after signing documents during a summit at the Capella Hotel on the resort island of Sentosa, Singapore in this file picture.
North Korea's leader, Kim Jong-un, has vowed in a rare letter to meet the South's president, Moon Jae-in, "frequently" next year to discuss denuclearisation of the Korean peninsula, Moon's office said Sunday.
Kim said he was willing to meet the US president at any time, mixing in conciliatory messages with his warnings of conflict to Washington and Seoul in his annual speech where he laid out policy priorities for his isolated and impoverished country.
North Korea has continued to develop its nuclear missiles, despite pledging to ditch the weapons programme earlier this year - it has been revealed.
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"Kim offered warm greetings as 2018 comes to an end and called on both Koreas to pursue peace and prosperity together next year", said Moon.
The U.S. military, Japan Self-Defense Forces and South Korean military are constantly monitoring North Korea for radio waves. With worldwide sanctions squeezing the country's trade flow and cash supply, any clues about the North Korean economy or Kim's growth strategies will be closely examined.
But the much-anticipated trip has not yet materialised, which has left Kim feeling "much regret", according to his letter, sent to mark the end of the year, Moon's spokesman said.
The tweet also included a photo that showed a ruby-colored folder emblazoned with the seal of Pyongyang's powerful State Affairs Commission and the top part of Kim's letter, which started with: 'Dear your excellency President Moon Jae-in.
Talks between the USA and North Korea have made little progress since Trump and Kim held an unprecedented summit in June and signed to "work toward complete denuclearization of the Korean Peninsula", without defining the term or setting a deadline.
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Kim and Moon met three times this year, agreeing on steps to decrease military tensions and lay groundwork for economic exchange between their countries.
WHILE Kim Jong Un has always been regarded as a dictator in South Korea, the North Korean leader can expect a warm welcome from a portion of his estranged neighbours who have set up fan clubs in anticipation of his future visits.
"The New Year's Day speech will likely address implementation of peace and prosperity, the denuclearization issue and maintaining the inter-Korean relations", South Korean Unification Ministry spokesman Baik Tae Hyun told a briefing.
For Kim, working with South Korea has been a lot more productive than working with the US.
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