WRAPUP 4-High-level U.S.-North Korea nuclear talks get underway in New York

(Corrects day to Wednesday from Thursday in par 20)

* Rare visit to U.S. by close aide to North Korea's Kim Jong Un

* Trump-Kim summit expected to go ahead June 12 -White House

* No details on whether gap is closed on issue of nuclear weapons

By Rodrigo Campos and Daniel Bases

NEW YORK, May 30 (Reuters) - High-ranking officials of the United States and North Korea met in New York late on Wednesday in the first of two days of talks about the future of Pyongyang's nuclear weapons program and a possible summit between U.S. President Donald Trump and North Korean leader Kim Jung Un.

U.S. Secretary of State Mike Pompeo and Kim Yong Chol, a close aide of North Korean leader Kim Jung Un, met for about 90 minutes over dinner and exited without providing any detailed remarks to reporters waiting outside.

Pompeo would only say that the dinner "was great" and that the two men dined on "American beef."

It was not yet known whether the two men made any progress toward narrowing long-standing differences between Washington and Pyongyang that could end decades of hostile relations.

Earlier in the day, the White House left open the possibility of a Trump-Kim summit on June 12 in Singapore, despite Trump's cancellation of the meeting just days ago.

As the dinner was underway inside an apartment on New York's East Side, just south of the United Nations, a senior State Department official separately briefed reporters on the high-level talks that were underway.

Pompeo and Kim Yong Chol, vice chairman of the ruling Workers' Party's Central Committee, "are trying to get to know each other" following their two initial meetings this year in North Korea, said the U.S. official who asked not to be identified.

The official added that before any summit between the two leaders can occur, Pyongyang is "going to have to make clear what they are willing to do" amid demands from Washington that North Korea permanently end its nuclear weapons program.

Trump, the official said, "can make a fly or no-fly decision anytime he wants," referring to the possible unprecedented Singapore summit.

If not enough progress is made to lead to a productive meeting between Trump and Kim Jung Un, the official said, "We will ramp up the pressure on them and we’ll be ready for the day that hopefully they are ready.”

Shortly before Wednesday's dinner, Pompeo repeated the Trump administration's bottom-line demand:

"Looking forward to meeting with Kim Yong Chol in New York to discuss @Potus potential summit with Chairman Kim. We are committed to the complete, verifiable, and irreversible denuclearization of the Korean Peninsula @StateDept," Pompeo said in a Twitter post.