North Korea‘s leader has expressed “large satisfaction” at receiving a “great” letter from Donald Trump, state media has said.

Kim Jong-un has ordered preparations for a second summit with the US president, saying he will “wait with patience and in good faith” to work towards a common goal.

He said he would trust President Trump’s approach, according to the North’s official KCNA agency.

“Kim Jong-un said that we will believe in President Trump’s positive way of thinking, wait with patience and in good faith and, together with the US, advance step by step toward the goal to be reached by the two countries,” KCNA said.

It comes weeks after Mr Kim warned the North could seek a “new path” if US sanctions and pressures continued.

Singapore Summit: historic first meeting between Trump and Kim Jong-un Show all 20 1 /20 Singapore Summit: historic first meeting between Trump and Kim Jong-un Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim leave following their historic meeting AFP/Getty Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim sign a document committing to peace between their nations, amongst other things EPA Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump holds up a document that both he and Mr Kim have signed AFP/Getty Singapore Summit: historic first meeting between Trump and Kim Jong-un The two leaders reach out to shake hands for the first time AP Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim shake hands as they meet for the first time Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim walk off stage, following their historic meeting Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim take a stroll after their meeting on June 12 Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim interrupt their stroll to talk to the media AP Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Kim and Mr Trump look out over a balcony at the Capella hotel, where they held their meeting on June 12 Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump takes questions at the press conference following his meeting with with Mr Kim AP Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump appreciates the crowd in the press conference following his meeting with Mr Kim Getty Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump travels to the Istana ahead of the summit with Kim Jong Un on June 12 Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Kim Jong Un travels to the Istana ahead of the summit with President Trump on June 12 Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Kim poses for a photo with Singapore's Finance Minister Vivian Balkrishnan and Education Minister Ong Ye Kung ahead of the summit with Mr Trump Twitter/Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump shakes hands with Singapore Prime Minister Lee Hsien Loong, meeting on Monday June 11 in the Istana, Singapore's presidential palace AP Singapore Summit: historic first meeting between Trump and Kim Jong-un At a working lunch on Monday, Singapore's Prime Minister surprised Mr Trump with a birthday cake, in early celebration of his 72nd birthday later in the week EPA Singapore Summit: historic first meeting between Trump and Kim Jong-un US Secretary of State Mike Pompeo answers questions about the summit at a press briefing in Singapore on Monday, June 11 Getty Singapore Summit: historic first meeting between Trump and Kim Jong-un US President Donald Trump arrives at the Paya Lebar Air Base in Singapore on June 10, two days prior to his summit with North Korean leader Kim Jong Un Reuters Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump and Mr Kim met on Tuesday June 12 in the Capella hotel on the island resort of Sentosa, just off the south coast of Singapore AFP/Getty Singapore Summit: historic first meeting between Trump and Kim Jong-un Mr Trump boards Air Force One following the summit AFP/Getty

The White House said last week a second summit between the two leaders would be held in late February, but it did not say where.

On Thursday, Mr Trump said in a series of tweets: “The Fake News Media loves saying ‘so little happened at my first summit with Kim Jong Un.’ Wrong!

“After 40 years of doing nothing with North Korea but being taken to the cleaners, & with a major war ready to start, in a short 15 months, relationships built, hostages & remains back home where they belong, no more Rockets or M’s being fired over Japan or anywhere else and, most importantly, no Nuclear Testing. This is more than has ever been accomplished with North Korea, and the Fake News knows it. I expect another good meeting soon, much potential!”

Despite Mr Kim’s enthusiasm for another meeting with Mr Trump, the two remain at odds over fundamental issues such as the denuclearisation of the Korean peninsula.

Progress on negotiations has been patchy since their first landmark summit in Singapore last June, which ended with Mr Kim making a vague pledge to denuclearise his government had previously used when it called for the withdrawal of the 28,500 US troops stationed in South Korea.

The strongest step he could promise during a second summit would be abandoning his long-range missle programme, which is capable of targeting the US mainland.

This is unlikely to satisfy South Korea and Japan, which are within striking distance of the North’s short- and medium-ranged missiles.

North and South Korean leaders Kim Jong-un and Moon Jae-in sign joint agreement on denuclearisation

In return for such gestures, Mr Kim has sought to get UN sanctions on his country lifted.

So far he has suspended nuclear and missile tests, dismantled the country’s nuclear testing site and part of its rocket engine facility, along with releasing American detainees.

However, satellite imagery indicates the North is still running its main nuclear complex, begging the question of why is it is still producing nuclear material if it is truly committed to denuclearisation.

Donald Trump and Kim Jong Un meet for first time

While Mr Trump has said there is “no rush” and “no time limit” on denuclearisation negotiations, his secretary of state, Mike Pompeo, has given varying statements about the extent of Washington’s patience.

After the Singapore summit Mr Pompeo said the US hoped to achieve “major disarmament” by the end of Mr Trump’s current term in office in January 2021. He has subsequently said he would not put a timeline on talks.

“Chairman Kim continues to assure the President of the United States he is intent on denuclearisation and I hope that at the end of February, when the two leaders get together, we can make a substantial step along the way,” Mr Pompeo told Fox News on Wednesday.