Multiple web search results report that Iran's parliamentary speaker stated that talks with the US had made progress but were far from an agreement. Furthermore, multiple sources mention Iran warning that the Strait of Hormuz would remain closed until the US lifted its blockade on Iranian ports.

Two separate web search results report on casualties in southern Lebanon involving Israeli soldiers. One mentions one soldier killed and eight wounded, while another mentions one soldier killed and four seriously wounded, indicating consistent reporting of casualties in that area.

Multiple web search results confirm that Iran's parliamentary speaker stated that negotiations with the United States to end the war had made progress but were still far from a final agreement.

Multiple web search results attribute the statement—that progress was made but fundamental points and gaps remain—to Mohammad Bagher Ghalibaf, Iran's parliamentary speaker/negotiator.

Multiple web search results confirm that a French soldier was killed and several others wounded in an ambush in Lebanon. Furthermore, these sources consistently report that French President Emmanuel Macron blamed Hezbollah for the attack, and Hezbollah has denied involvement.

Two separate web search results confirm that UN Secretary-General Antonio Guterres condemned the attack in Lebanon and urged all parties to respect the cessation of hostilities and the ceasefire.

Two web search results indicate that Hezbollah denied involvement in the attack that killed the French peacekeeper. While the specific name 'staff sergeant Florian Montorio' is not consistently confirmed across the search results, the core denial by Hezbollah is corroborated.