Israeli ground forces have reached their deepest point in Lebanon since they invaded six weeks ago, before pulling back after fierce battles with Hezbollah militants, Lebanese state media reported.

Israeli troops captured a strategic hill in the southern Lebanese village of Chamaa, about three miles from the Israeli border, early on Saturday, the state-run National News Agency reported. It said Israeli troops were later pushed back from the hill.

The agency added that Israeli troops blew up the Shrine of Shimon the Prophet in Chamaa as well as several homes before they withdrew, but the claim could not be verified.

Smoke rises after an Israeli air strike on Dahiyeh
Smoke rises after an Israeli air strike on Dahiyeh (Bilal Hussein/AP)

Israel’s military said its troops “continue their limited, localised and targeted operational activity in southern Lebanon”.

The push on the ground came as Israeli planes pounded Beirut’s southern suburbs as well as several other areas in southern Lebanon including the port city of Tyre.

An airstrike on the northeastern village of Khraibeh killed a couple and their four children, the National News Agency said.

Shrapnel from one strike wounded a teenage girl in the head in a southern Beirut suburb and she was in an intensive care unit, a hospital official said.

The morning strike in Beirut hit an area known as Dahiyeh, which the Israeli military called a Hezbollah stronghold, saying its planes hit multiple sites used by the militant group.

Residents were given advance warning by Israel, and it was not immediately clear whether there were any casualties.

Israel’s military said a soldier died in combat in southern Lebanon on Friday.

The military also said a synagogue was struck and two civilians hurt in a “heavy rocket barrage” by Hezbollah on Haifa, northern Israel’s largest city.

Police said they were lightly injured. Israel said Hezbollah fired more than 60 projectiles into Israel on Saturday. There was no immediate Hezbollah statement.

The increase in violence came as Lebanese and Hezbollah officials study a draft proposal presented by the US earlier this week on ending the war.

Since late September, Israel has dramatically escalated its bombardment of Lebanon, vowing to cripple Hezbollah and end its barrages in Israel.

More than 3,400 people have been killed in Lebanon by Israeli fire — 80% of them in eight weeks — according to Lebanon’s Health Ministry.

On Friday, Lebanon’s caretaker prime minister apparently urged Iran to try to convince Hezbollah to agree to a ceasefire with Israel, which would require the group to pull back from the Israel-Lebanon border.

The proposal is based on UN Security Council resolution 1701, which ended the last Israel-Hezbollah war in summer 2006.

A copy of the draft proposal was handed over earlier this week by the US ambassador to Lebanon to parliament speaker Nabih Berri, who has been negotiating on behalf of Hezbollah, according to a Lebanese official, who added that Mr Berri is expected to give Lebanon’s response on Monday.

Another Lebanese politician said Hezbollah officials had received the draft, were studying it and would respond to Mr Berri.

He told the pan-Arab Asharq Al-Awsat daily newspaper that the draft does not include any item that allows Israel to act in Lebanon if the deal is violated.

“We will not accept any infringement of our sovereignty,” Mr Berri was quoted as saying.

Nabih Berri, centre, walks with Ali Larijani, an adviser to Iran’s supreme leader Ali Khamenei
Nabih Berri, centre, walks with Ali Larijani, an adviser to Iran’s supreme leader Ali Khamenei (Hassan Ibrahim/Lebanese Parliament media office/AP)

He added that one of the items in the draft that Lebanon does not accept is the proposal to form a committee to supervise the agreement that includes members from western countries.

Mr Berri added that talks are ongoing regarding this point as well as other details in the draft, adding that “the atmosphere is positive but all relies on how things will end”.

There is also a push to end the war between Israel and Hamas, which began after Palestinian militants stormed into Israel on October 7 last year, killing about 1,200 people — mostly civilians — and abducting 250 others.

The UN Security Council’s 10 elected members on Thursday circulated a draft resolution demanding “an immediate, unconditional and permanent ceasefire” in Gaza.

The US, Israel’s closest ally, holds the key to whether the Security Council adopts the resolution. The four other permanent members — Russia, China, Britain and France — are expected to support it or abstain.

Israel’s bombardment and ground offensives since the initial Hamas attack have killed more than 43,000 people in Gaza, Palestinian health officials say. The officials do not distinguish between civilians and combatants but say more than half of those killed have been women and children.