Any participation by Mr Moon would be reliant on the advance of pre-summit talks between the US and North Korean pioneers, said the Blue House.
The memorable gathering is planned to occur on 12 June in Singapore.
It has been tossed into vulnerability, after Mr Trump said he would never again be going to.
Be that as it may, the two sides have since been attempting to get it back on track.
It would be the primary regularly meeting between a North Korean pioneer and a sitting US president.
The points of interest of the potential US-North Korea meeting stay indistinct, yet dialogs would center around methods for denuclearising the Korean landmass and lessening strains.
The US and North Korea have contrasted over the correct subtle elements of what "denuclearisation" would mean.
Mr Pence had cautioned that North Korea "may end like Libya" - where then-pioneer Muammar Gaddafi was executed by rebels in 2011 in the wake of repudiating atomic weapons eight years sooner.
Be that as it may, Mr Trump later said the US was all the while conversing with North Korea and the gathering could yet proceed.
On Sunday, Mr Trump said a group from the US had touched base in North Korea to make courses of action for the summit, which he said would enable the North to accomplish its "splendid potential".
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