Washington (CNN) President Donald Trump on Tuesday offered up new details about a potential second summit with North Korean leader Kim Jong Un, following Secretary of State Mike Pompeo's meeting with Kim over the weekend.

The President said that a second summit "is happening" and the "timing won't be too far away," though later in the day he said it would be after the midterm elections, which take place on November 6. He also said he spoke with Pompeo on Monday at length regarding the meeting, adding that the second summit will probably take place at a new location.

The first Trump-Kim summit took place in June in Singapore.

Considerations are underway for "three or four different locations," the President said.

"As I've said about a thousand times, you've got no rockets flying, you've got no missiles flying, you have no nuclear testing, you have nuclear closings, closing up different areas of North Korea. We're getting the remains back ... we got our hostages back, and I didn't pay $1.8 billion, like the previous administration. I paid nothing," Trump said in the Oval Office, apparently referring to an Obama-era Iran deal.

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