File Photo: Lebanese President Joseph Aoun posing with US ambassador to Lebanon Michel Issa (L) at the presidential palace of Baabda, east of Beirut. AFP
Lebanese authorities on Monday also raised the overall death toll from Israeli strikes since March 2 to 2,869 people.
That toll includes dozens killed since the truce went into force on April 17.
Israel's troops are operating inside an Israeli-declared "yellow line" that runs around 10 kilometres (six miles) north of Lebanon's border.
Lebanese President Joseph Aoun and Prime Minister Nawaf Salam met separately with Ambassador Michel Issa in preparation for a third direct meeting between Lebanese and Israeli representatives set to take place in Washington on Thursday and Friday.
Salam said he asked Issa to "exert pressure on Israel to stop the ongoing attacks and violations, to consolidate the ceasefire".
The appeal followed a weekend of intense Israeli strikes that stretched beyond the country's south and reached as close as 20 kilometres (12 miles) from the capital, Beirut.
Israel and Hezbollah have been trading fire in southern Lebanon despite a ceasefire in place since April 17 between Israel and Lebanon that aimed to halt the fighting.
AFP correspondents witnessed strikes across the south, with large plumes of smoke rising from the targeted locations.
Israel's military said earlier on Monday that one of its soldiers had died in fighting near the border with Lebanon, bringing its losses to 18 personnel and a civilian contractor since the start of the war.
In an interview with Saudi Arabia's Al Arabiya channel on Sunday, Salam said the country is "facing the occupation of 68 Lebanese villages as a result of this war that was imposed on us".
Hezbollah entered the wider Middle East war (The US-Israeli war on Iran) on March 2 when it launched rockets at Israel to avenge the killing of Iran's supreme leader in US-Israeli strikes.
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