It's been a week since the United States pressed Israel and Iran into a truce, ending a bloody, 12-day conflict that had set the Middle East and globe on edge.

The fragile peace, brokered by the U.S. the day after it dropped 30,000-pound "bunker-busting" bombs on three of Iran's key nuclear sites, is holding. But much remains unsettled.

U.S. President Donald Trump on Sunday urged progress in ceasefire talks in the 20-month war in Gaza between Israel and Hamas, though some weary Palestinians were skeptical about the chances. Israel issued a new mass evacuation order for parts of northern Gaza.

Ron Dermer, a top adviser to Prime Minister Benjamin Netanyahu, was set to travel to Washington this week for talks on a ceasefire, an Israeli official said, and plans were being made for Netanyahu to travel there in the coming weeks, a sign there may be movement on a deal.

With the Iran-Israel war opening up a new road for the Mideast, Syria and Lebanon need to reach peace agreements with Israel, the U.S. special envoy to Syria said Sunday.

"President (Ahmad) al-Sharaa has indicated that he doesn’t hate Israel... and that he wants peace on that border. I think that will also happen with Lebanon. It’s a necessity to have an agreement with Israel," Tom Barrack said in an interview with Turkey’s state news agency Anadolu.

An Israeli strike on Tehran's Evin prison during this month's 12-day war killed at least 71 people, Iran's judiciary said Sunday, days after a ceasefire ended hostilities between the two arch-foes.

U.S. President Donald Trump has said the United States was "not going to stand" for the continued prosecution of Israeli Prime Minister Benjamin Netanyahu on corruption charges.

"The United States of America spends Billions of Dollar a year, far more than on any other Nation, protecting and supporting Israel. We are not going to stand for this," Trump posted on his Truth Social platform.

U.S. President Donald Trump voiced optimism Friday about a new ceasefire in Gaza, as criticism grew over mounting civilian deaths at Israeli-backed food distribution centers in the territory.

Iran began a state funeral service Saturday for around 60 people, including its military commanders, killed in its war with Israel, after Tehran's top diplomat condemned Donald Trump's comments on supreme leader Ayatollah Ali Khamenei as "unacceptable".

President Donald Trump's call for Prime Minister Benjamin Netanyahu's corruption trial to be thrown out has plunged the American leader into one of Israel's most heated debates, unnerving some in its political class just days after they unanimously praised his strikes on Iran.

Trump's social media post condemning the trial as a "WITCH HUNT," and his vow that the United States will be the one who "saves" Netanyahu from serious corruption charges, came just two days after he called off an Israeli bombing raid in Iran to preserve a ceasefire.

Iran will hold what it described as "historic" funeral proceedings in Tehran on Saturday for 60 killed in its 12-day war with Israel, including top military commanders and nuclear scientists.

The commemorations will begin at 0800 local time (0430 GMT) at Enghelab (Revolution) Square in central Tehran, followed by a funeral procession to Azadi (Freedom) Square, about 11 kilometers (7 miles) away.

An Israeli court on Friday rejected Prime Minister Benjamin Netanyahu's request to postpone his testimony in his corruption trial, after US President Donald Trump said the case should be cancelled.

The Jerusalem district court said in a judgement published online that "in its current form (his request) does not provide a basis or detailed justification for the cancellation of the hearings".