The soldier was killed by an anti-tank missile on Sunday, while another was "moderately injured" and two were "lightly injured", according to the Israeli military.

Hamas's armed wing, the al Qassam Brigades, said its fighters engaged with an Israeli force east of Khan Younis in the southern region of Gaza and destroyed Israeli military equipment.

"Fighters engaged with the infiltrating force, destroying two bulldozers and a tank and forced the Israeli forces to withdraw before they returned safely to base," they said in a statement.

Follow live: IDF strikes 'terrorist cell' inside Lebanon

The Israel Defence Forces (IDF) have been carrying out "limited" raids across the Gaza Strip to clear the area ahead and gather intelligence about missing people and captives held by Hamas ahead of an expected ground invasion.

On Monday, the IDF raised the number of people being held as captives in Gaza to 222.

The Gaza health ministry has said 5,087 Palestinians have been killed since the conflict began, with 436 people, including 182 children, being killed in the past 24 hours in Israeli strikes.

It comes as a second aid convoy entered Gaza after the US said Israel's leader had agreed to a "continued flow" of supplies into the territory. The first aid convoy of 20 trucks finally crossed from Egypt on Saturday and 14 more followed on Sunday.

In other key developments:
• Mr Netanyahu convened a meeting of his war cabinet on Monday,
• Two Palestinians were killed in the West Bank in clashes with Israeli forces, according to officials,
• Israeli forces fired pre-emptive strikes at suspected Hezbollah sites near the border with Lebanon,
• Hamas leaders said they had spoken Iran's foreign minister to discuss the situation in Gaza.

Israel's airstrikes and blockade have led to dire conditions, with food and water running out and devastated hospitals swamped by the wounded and the dead.

The United Nations has warned the 34 trucks of aid to cross the border are just a fraction of what's needed to help Gaza's two million-plus population survive and that 100 trucks a day are required.

But after a call on Sunday, Prime Minister Benjamin Netanyahu and President Joe Biden "affirmed" there will now be a "continued flow of this critical assistance", according to the White House.

Israel has yet to launch its ground assault on Gaza to achieve its aim of destroying Hamas - the group that murdered some 1,400 of its people two weeks ago - but its airstrikes are continuing.

Fears the war could expand remain high after Israel hit several airports in Syria on Sunday, as well as a mosque in the West Bank allegedly being used by militants.

Targets across its northern border in Lebanon were also destroyed early on Monday, according to Israel.

Jets fired at two Hezbollah "terrorist squads" - one adjacent to the Israeli town of Mattat and the other further north in the Shebaa Farms area.

IDF said it was a pre-emptive attack as they suspected rockets and anti-tank missiles would be launched from the sites.

Hezbollah, an Iran-backed militant group based in Lebanon, has been trading fire with Israel since the terror attack, forcing many communities to evacuate.

Netanyahu threatens to 'cripple' Hezbollah

President Netanyahu has warned he will destroy the group if it decides to join the war.

Visiting troops in the north on Sunday, he warned Hezbollah against making "the mistake of its life".

"We will cripple it with a force it cannot even imagine and the consequences for it and the Lebanese state are devastating," said the prime minister.

Hamas, meanwhile, said in a statement on Sunday that its leader and Iran's foreign minister had held a call to discuss how to stop Israel's "brutal crimes" in Gaza.

Israel insists it's doing everything it can to avoid civilian casualties as it attacks Hamas targets in the densely packed Gaza Strip.

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The number killed in the enclave is now 4,651, according to the Gaza health ministry, while a further 14,245 people have been injured.

Israeli strikes have been increasing to reduce the risk of troops in the next stage of the war, said IDF spokesman Rear Admiral Daniel Hagari.

It's estimated 700,000 people have fled after Israel urged civilians to leave northern Gaza - but hundreds of thousands remain as Israel prepares for the expected ground attack.