President Donald Trump says he may be meeting with North Korea's Kim Jong Un on Sunday during a visit to the demilitarised zone with South Korea. Mr Trump offered the update during a press conference as he wraps up his appearance at the Group of 20 summit in Japan hours after tweeting his invitation. Mr Trump says Kim has responded to the offer and was "very receptive" to the idea. He says: "We may be meeting with Chairman Kim... we'll find out." It is unclear whether Mr Trump was referring to a private communication or public comments from Choe Son Hui, North's First Vice Foreign Minister, who called the prospect of a meeting a "very interesting suggestion." Eyeing a history-making photo opportunity, President Trump issued a Twitter invitation to North Korea's Kim Jong Un to join him for a hand shake during a visit by Trump to the demilitarized zone with South Korea. The invitation, while long rumored in diplomatic circles, still struck as an impulsive display of showmanship by a president bent on obtaining a legacy-defining nuclear accord. Presidential visits to the DMZ are traditionally treated as carefully guarded secrets for security reasons, for one. He told reporters during a breakfast with Saudi Arabian Crown Prince Mohammed bin Salman that he would be visiting the heavily fortified area between the two Koreas. The pair last met at a summit in Vietnam Credit: AP Shortly before the breakfast, Mr Trump tweeted an invitation for Kim to meet him there. "If Chairman Kim of North Korea sees this, I would meet him at the Border/DMZ just to shake his hand and say Hello(?)!" It was not immediately clear what the agenda, if any, would be for the potential third Trump-Kim meeting. Trump predicted that, "If he's there we'll see each other for two minutes." Still, such a spectacle would present a valuable propaganda victory for Kim, who, with his family, has long been denied the recognition they sought on the international stage. Despite Trump's comments Saturday, he had told The Hill newspaper in an interview this week that he would be visiting the DMZ and said "he might" meet with Kim. The paper reported it had withheld Trump's comments citing security concerns by the White House. North Korea's state media made no mention Saturday of a possible meeting between Trump and Kim. South Korea's presidential office said nothing has been determined regarding a Trump-Kim meeting and that Seoul wishes talks between the U.S. and North Korea would resume. Trump's summit with Kim in Vietnam earlier this year collapsed without an agreement for denuclearizing the Korean Peninsula. He became the first sitting U.S. president to meet with the leader of the isolated nation last year in Singapore, where they signed a broad agreement to bring the North toward denuclearization. Memorable diplomatic meetings Substantive talks between the two nations have largely broken down since then, as the North has balked at Trump's insistence that it give up its weapons before it sees relief from crushing international sanctions. Still, Trump has sought to publicly heap praise on Kim, who oversees an authoritarian government, in hopes of keeping a deal alive, and the two have traded flowery letters in recent weeks. Every president since Ronald Reagan has visited the 1953 armistice line, except for George H.W. Bush, who visited when he was vice president. The show of bravado and support for one of America's closest military allies has evolved over the years to include binoculars and bomber jackets. Trump, ever the showman, appears to be looking to one-up his predecessors with a meeting with Kim As he left the White House for Asia earlier this week, Trump was asked whether he'd meet with Kim while he is in the region. "I'll be meeting with a lot of other people ... but I may be speaking to him in a different form," Trump said. Such trips to the demilitarized zone, the heavily fortified border between North and South Korea, are usually undertaken under heavy security and the utmost secrecy. Trump tried to visit the DMZ when he was in Seoul in November 2017, but his helicopter was grounded by heavy fog. Trump has staked his self-professed deal-making reputation on his rapprochement with the North and has even turned it into a campaign rallying cry. Trump has repeatedly alleged that if he lost the 2016 presidential campaign that the U.S. would be "at war" with North Korea over its nuclear weapons and ballistic missile programs, noting that Kim has largely halted significant testing since their summit last year. Trump also suggested Saturday that the North was prepared to turn over additional unidentified remains of unknown American and allied service-members. At least six Americans have been identified from 55 boxes of remains delivered by the North last year after Trump's first meeting with Kim, but the Defense Department in May announced it was halting efforts to recover additional remains, citing a lack of cooperation from North Korea.