U.S. President Donald Trump, who hosted Israel's Prime Minister Benjamin Netanyahu at the White House on Monday, said the United States had scheduled talks with Iran and had seen good cooperation with Israel's neighbors on helping Palestinians.

Speaking to reporters at the beginning of a dinner between U.S. and Israeli officials, Netanyahu said the United States and Israel were working with other countries that would give Palestinians a "better future," suggesting that the residents of Gaza could move to neighboring nations.

"If people want to stay, they can stay, but if they want to leave, they should be able to leave," Netanyahu said.

"We're working with the United States very closely about finding countries that will seek to realize what they always say, that they wanted to give the Palestinians a better future. I think we're getting close to finding several countries."

Trump and Netanyahu met in Washington while Israeli officials held indirect negotiations with Hamas aimed at securing a Gaza ceasefire and hostage-release deal. Netanyahu's visit follows Trump's prediction, on the eve of their meeting, that such an agreement could be reached this week.

However, the first round of Gaza ceasefire talks ended without a breakthrough, a Palestinian official said on Monday. Another Palestinian source told media that the negotiations would resume later in the evening.

It was Trump's third face-to-face encounter with Netanyahu since returning to office in January and came just over two weeks after the president ordered the bombing of Iranian nuclear sites in support of Israeli air strikes.

Trump said his administration would be meeting with Iran. Special envoy Steve Witkoff said the meeting would take place in the next week or so. Trump said he would like to lift sanctions on Iran at some point. He has said he also wanted to discuss with Netanyahu the prospects for a "permanent deal" with Iran.

Israel's refusal to allow the free and safe entry of humanitarian aid into Gaza remains the main obstacle to progress in the ceasefire talks being held in Qatar, Palestinian sources said on Monday.

Four months into an Israeli blockade on Gaza, virtually all of the United Nations' remaining fuel stock in the enclave has been allocated to life-saving efforts only, UN humanitarians said on Monday, urging Israel to allow fuel in without delay.

(With input from agencies)