Hezbollah on Saturday denied it was involved in a deadly attack on United Nations peacekeepers (UNIFIL) in southern Lebanon, after France accused the group of being behind the incident.

"Hezbollah denies any connection to the incident that occurred with UNIFIL forces in the Ghandouriyeh-Bint Jbeil area, and calls for caution in making judgments and assigning responsibilities regarding the incident pending the Lebanese army's investigations to determine the full circumstances of the incident," the group said in a statement.

The strategic Strait of Hormuz was again closed on Sunday in the stand-off between Iran and the United States, with Iran's powerful parliament speaker signalling a final peace deal remained "far" off despite some movement in negotiations.

Iran's top national security body said that the country was reviewing "new proposals" received from the United States, even as it warned that its negotiators would cut no compromises with Washington.

U.S. President Donald Trump on Saturday warned Iran not to "blackmail" Washington with its flip-flopping on the fate of the Strait of Hormuz, after Tehran declared the strategic waterway once again closed.

"We're talking to them. They wanted to close up the strait again -- you know, as they've been doing for years -- and they can't blackmail us," Trump said at a White House event.

A French soldier was killed and three others wounded in an ambush Saturday on U.N. peacekeepers in Lebanon that French President Emmanuel Macron blamed on Hezbollah, an accusation the group has denied.

The attack follows an agreement between Israel and Lebanon on Thursday for a 10-day ceasefire to negotiate an end to six weeks of fighting between Israel and the Iran-backed group.

The Israeli military said Saturday it had established a "Yellow Line" demarcation in southern Lebanon, similar to the one separating its forces from territory still held by Hamas in Gaza, adding that it had already struck suspected militants approaching its troops along the line.

A statement said to have been issued by Iran's supreme leader Mojtaba Khamenei warned Saturday that Tehran's navy was ready to defeat U.S. forces, as the foes sparred over the Strait of Hormuz.

No date has been set for the next round of Iran–U.S. peace talks brokered by Pakistan following the failure of an initial round, Iran's deputy foreign minister said on Saturday.

Iran's central military command announced on Saturday it would resume "strict management" of the Strait of Hormuz, reversing a decision to unblock the strategic channel as part of negotiations with Washington.

U.S. President Donald Trump said Friday that the United States and Iran would jointly remove uranium from Tehran's nuclear sites with excavators under any peace deal, before the material is transferred to U.S. territory.

Trump's comment came despite Iran's foreign ministry saying earlier that the Islamic Republic's stockpile of enriched uranium would not be transferred "anywhere."