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US Secretary of State Mike Pompeo (3rd L) shakes hands with North Korea's Foreign Minister Ri Yong Ho (3rd R) as they arrive for a group photo at the ASEAN Regional Forum Retreat during the 51st Association of Southeast Asian Nations (ASEAN) Ministerial Meeting (AMM) in Singapore on August 4, 2018. - Leaders, ministers and representatives are meeting in the city-state from August 1 to 4 for the ASEAN Ministerial Meeting (AMM). (Photo by Mohd RASFAN / AFP)        (Photo credit should read MOHD RASFAN/AFP/Getty Images)
PHOTO: MOHD RASFAN/AFP/AFP/Getty Images
US Secretary of State Mike Pompeo (3rd L) shakes hands with North Korea's Foreign Minister Ri Yong Ho (3rd R) as they arrive for a group photo at the ASEAN Regional Forum Retreat during the 51st Association of Southeast Asian Nations (ASEAN) Ministerial Meeting (AMM) in Singapore on August 4, 2018. - Leaders, ministers and representatives are meeting in the city-state from August 1 to 4 for the ASEAN Ministerial Meeting (AMM). (Photo by Mohd RASFAN / AFP) (Photo credit should read MOHD RASFAN/AFP/Getty Images)
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PHOTO: SAUL LOEB/AFP/AFP/Getty Images
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TOPSHOT - North Korea's leader Kim Jong Un (L) shakes hands with US President Donald Trump (R) after taking part in a signing ceremony at the end of their historic US-North Korea summit, at the Capella Hotel on Sentosa island in Singapore on June 12, 2018. - Donald Trump and Kim Jong Un became on June 12 the first sitting US and North Korean leaders to meet, shake hands and negotiate to end a decades-old nuclear stand-off. (Photo by Anthony WALLACE / POOL / AFP)        (Photo credit should read ANTHONY WALLACE/AFP/Getty Images)
PHOTO: ANTHONY WALLACE/AFP/AFP/Getty Images
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PHOTO: Handout/Getty Images AsiaPac/Getty Images
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U.S. Secretary of State Mike Pompeo, left, speaks during a meeting with North Korean Director of the United Front Department Kim Yong Chol at the Park Hwa Guest House in Pyongyang, North Korea, Friday, July 6, 2018. Pompeo is on a trip traveling to North Korea, Japan, Vietnam, Abu Dhabi, and Brussels. (AP Photo/Andrew Harnik, Pool)
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U.S. Secretary of State Mike Pompeo, second from right, greets Kim Yong Chol, second from left, a North Korean senior ruling party official and former intelligence chief, as they arrive for a meeting at the Park Hwa Guest House in Pyongyang, North Korea, Friday, July 6, 2018. Pompeo is on a trip traveling to North Korea, Japan, Vietnam, Abu Dhabi, and Brussels. Also pictured is Andrew Kim, the head of the CIA's Korea Mission Center, right. (AP Photo/Andrew Harnik, Pool)
PHOTO: Andrew Harnik/AP
U.S. Secretary of State Mike Pompeo, second from right, greets Kim Yong Chol, second from left, a North Korean senior ruling party official and former intelligence chief, as they arrive for a meeting at the Park Hwa Guest House in Pyongyang, North Korea, Friday, July 6, 2018. Pompeo is on a trip traveling to North Korea, Japan, Vietnam, Abu Dhabi, and Brussels. Also pictured is Andrew Kim, the head of the CIA's Korea Mission Center, right. (AP Photo/Andrew Harnik, Pool)
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(CNN) —  

Republican senators praised President Donald Trump for his decision Thursday to cancel a summit in Singapore with North Korea’s leader Kim Jong Un.

In a rare interview with reporters, Senate Majority Leader Mitch McConnell told reporters Trump made the “right” decision.

“I think he did the right thing,” he said.

Sen. Lindsey Graham, a South Carolina Republican who’s a member of the Senate Armed Services Committee, praised the Trump administration’s strategy for handling North Korea.

“I thought they’ve done a good job of making diplomacy real,” he told CNN. “They’ve done a good job of saying they’re not going to get played. And I’ll talk to the administration this afternoon. I’ll get briefed by them, Secretary (of State Mike) Pompeo, about sort of what led to this and where they want to go, and I’ll know more after that.”

During an appearance from the Roosevelt Room on Thursday, Trump said the decision amounted to a “tremendous setback” and warned North Korea that the US military is ready to act should Pyongyang take any “foolish and reckless” action – but left the door open to renewing the diplomatic thaw which had preceded the anticipated talks.

Sen. Rand Paul, a Kentucky Republican and a member of the Foreign Relations Committee, said he is still hopeful that a summit with North Korea could still happen once the “bombastic” rhetoric settles down.

“I think it’s not happening under the current timetable,” he said. “But I wouldn’t say it’s never happening. I would say that at least there are many people in our country who would like to see a summit and still like to see a discussion. But really I think language, sometimes on both sides, gets things too ratcheted up and that prevents the diplomacy from occurring.”

This story will be updated.

CNN’s Phil Mattingly, Liz Turrell and Manu Raju contributed to this report.