Trump said that in terms of timing, the summit "won't be that far away".
South Korea imposed unilateral sanctions on the North in 2010 following an attack on a warship that killed 46 South Korean sailors, banning most bilateral trade and exchanges.
China has sent a diplomatic giant to North Korea.
Deputy foreign ministers of China, North Korea, and Russian Federation on Wednesday issued a joint communiqué reiterating the strong ties between the three nations and calling for a loosening of sanctions against the DPRK.
In an interview granted to the Washington Post on the sidelines of the UN General Assembly in NY last month, Kang said: "What we need to proceed with the South-North cooperation project as identified in the Panmunjom Declaration [issued after the April inter-Korean summit] means that sometimes we may need waivers on the sanctions, but getting waivers is very different from seeking a weakening of the sanctions regime".
On Wednesday, China, Russia and North Korea released a joint statement that called on the U.N. Security Council to "adjust" the current sanctions on North Korea.
The ministry denied that Pompeo was angry and added, "The government held close consultations with the U.S.in all processes involving the signing of the inter-Korean military agreement".
He has encouraged United States allies to maintain sanctions on North Korea until it denuclearises as part of his administration's "maximum pressure" campaign against Pyongyang. Still, the lifting of the 2010 sanctions could offer at least some tangible benefits to the North.
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"They do nothing without our approval", Trump said.
"I'd love to remove them, but we have to get something for doing it", Trump said.
Kang's remarks generated smiles in other quarters. "The three parties also oppose unilateral sanctions".
China, Russia and North Korea believe it is necessary to consider adjusting United Nations sanctions against Pyongyang at an appropriate time, China's foreign ministry said on Wednesday.
The statement contradicts the "maximum pressure" strategy pursued by Washington and enthusiastically endorsed by Tokyo, but which Seoul now appears to be wavering on: It calls for sanctions to remain in place until denuclearization is complete. "While there is still a long way to go and much work to do, we can now see a path to where we'll achieve the ultimate goal which is the full and final verified denuclearization of North Korea", Pompeo told reporters at the White House. North Korean officials have suggested Pyongyang as a site, although that would hand a major propaganda victory to Kim, without him having to make a concession.
She suggested instead the dismantlement of the Yongbyon nuclear reactor complex - an idea North Korea has put forward, in return for vague, reciprocal USA steps. Last month's third summit in Pyongyang was partly aimed at salvaging faltering nuclear talks between the North and the United States.
Pompeo told a reporter travelling with him Monday that "we made significant progress".