The speaker of the Iranian parliament, Mohammad Bagher Ghalibaf, said on Sunday that leaders in Tehran "do not trust the enemy's words and promises" amid ongoing peace talks with the U.S., as quoted by the official Islamic Republic News Agency.

Ghalibaf -- a senior figure within the regime who led Iran's delegation at peace talks in Pakistan in April -- said that leaders in Tehran "will not approve any agreement until we are sure that we have secured the rights of the Iranian people," IRNA reported.

-ABC News' Rashid Haddou-Riffi

The Israel Defense Forces said on Sunday that its troops operating in southern Lebanon had advanced north of the Litani River and secured the Beaufort Ridge -- a strategic position south of the Lebanese city of Nabatieh.

"The IDF crossed the Litani River and expanded the strikes on Hezbollah north of the river. The activity is expanding to additional areas at this moment," the IDF said in a post to X.

"The IDF is operating near Nabatieh, which constitutes a significant power center of the Hezbollah terror organization in southern Lebanon, and is prepared and ready to expand the attack as required," the force added.

Israeli Defense Minister Israel Katz said the advance was made "at the direction" of Israeli Prime Minister Benjamin Netanyahu. "The campaign is not yet over. The IDF is strong, and we are all determined to crush Hezbollah's power and complete the mission: ensuring security for the residents of the North," Katz wrote on X.

Also on Sunday, IDF spokesperson Avichay Adraee issued an evacuation order for all residents of southern Lebanon, particularly those south of the Zahleh River.

The Israeli offensive in southern Lebanon -- and airstrike campaign in the south and east of the country, plus in the capital Beirut -- is ongoing despite a ceasefire agreed between Israeli and Lebanese leaders in April.

Lebanon's Ministry of Public Health said that as of Saturday, 3,371 people had been killed and 10,129 people wounded by Israeli strikes since March 2.

Lebanese Prime Minister Nawaf Salam on Saturday accused Israel of adopting a "scorched-earth policy" in its campaign against Hezbollah. Salam said the IDF was engaged in "collective punishment" of southern Lebanese communities by "destroying towns and villages, and forcing their inhabitants into exile."

Hezbollah, meanwhile, continues its attacks on Israeli soldiers deployed in the south of Lebanon and its long-range strikes on northern Israel.

Several U.S. troops and civilian contractors suffered minor injuries and have since been returned to duty following an Iranian missile attack intercepted over Ali Al Salem Air Base in Kuwait on Wednesday, a U.S. official told ABC News.

The injuries came from falling debris from the interception. It’s unclear how many troops were wounded, according to the official.

As of Friday, 409 troops have been wounded in the war with Iran accord to Pentagon data, much of that being traumatic brain injuries.

-ABC News' Steve Beynon

Authorities in Oman issued an alert Saturday, warning vessels to exercise caution after an "object suspected to be a floating mine" was spotted in the Strait of Hormuz.

The object was reported in the Inshore Traffic Zone within Omani territorial waters, Oman's Maritime Security Center said in a post on X.

It is unclear if the suspected object had been recovered.

"All maritime users are advised to keep a safe distance from any suspicious objects and report them immediately to the relevant authorities," the post said.

A post from Oman's Ministry of Defense said "to exercise the utmost caution and vigilance while navigating, following the detection of a floating object suspected to be a sea mine west of the coastal traffic area."

-ABC News' Othon Leyva

As some Republican senators and former GOP officials warn that President Donald Trump's proposed deal with Iran would just be a repeat of the nuclear deal put in place during former President Barack Obama's administration, Trump is pushing back on that notion, saying his deal is the "exact opposite" of Obama's.

Obama's deal "was a direct path to Iran developing a Nuclear Weapon," Trump posted on his social media platform on Sunday. "Not so with the transaction currently being negotiated with Iran by the Trump Administration -- THE EXACT OPPOSITE, in fact!"

Trump went on to say that relationship between U.S. and Iran is becoming a "much more professional and productive one" and that there is 'no rush' to make a peace deal with the regime.

"The negotiations are proceeding in an orderly and constructive manner, and I have informed my representatives not to rush into a deal in that time is on our side. The Blockade will remain in full force and effect until an agreement is reached, certified, and signed. Both sides must take their time and get it right. There can be no mistakes!" Trump wrote.

Trump posted on his social media platform Saturday that "an Agreement has been largely negotiated" between the U.S. and Iran, "subject to finalization" between the parties involved. Secretary of State Marco Rubio said Sunday that the deal's "ultimate goal is that Iran can never have a nuclear weapon."

Iran has not yet signed on to or publicly commented on the proposal.

The Joint Comprehensive Plan of Action (JCPOA), which imposed restrictions on Iran's civilian nuclear enrichment program in exchange for sanctions relief, was signed on July 14, 2015, during the Obama administration. It was agreed to by Iran and the five permanent members of the United Nations Security Council -- China, France, Russia, the United Kingdom and the United States -- as well as Germany and the European Union.

The JCPOA was designed to ensure that Iran's nuclear program would be exclusively peaceful and provided for the lifting of nuclear-related sanctions in order to prevent Iran from developing nuclear weapons.

Two years after the deal went into effect, President Donald Trump withdrew the U.S. from the nuclear accord during his first term in office, saying at the time "it is clear to me that we cannot prevent an Iranian nuclear bomb under the decaying and rotten structure of the current agreement."

-ABC News' Isabella Murray