Israel's military has called up more troops to Lebanon, an Israeli security official said.

The official, who spoke on condition of anonymity in line with regulations, said Tuesday the military had called up an additional battalion to Lebanon, hours after Israeli Prime Minister Benjamin Netanyahu said he had authorized more intensive strikes across Lebanon.

Israel's military clashed with Hezbollah Tuesday along a strategic river in Lebanon as Israeli troops tried to push farther north, just three days before Lebanese and Israeli military delegations are set to meet for direct talks in Washington.

A previously reached ceasefire appeared more nominal by the day, complicating efforts at a broader peace in the Iran war, as Tehran wants an end to the fighting to include Lebanon.

Eight Israeli airstrikes hit the outskirts of Mashghara in West Bekaa on Monday evening as other strikes hit the southern towns of Shhour, Rishknanay, Arab Salim and Habboush and many villages in the Nabatieh district, as residents heavily fled Beirut's southern suburns, after Israeli PM Benjamin Netanyahu ordered the army to escalate against Hezbollah in response to drone attacks.

"Washington is discussing with Tehran a ceasefire in Lebanon on the condition of reining in Hezbollah," an Israeli source told Al-Arabiya.

A senior U.S. official on Monday hinted that the Trump administration would support an escalation in Israeli military action in retaliation to "Hezbollah's violations of the ceasefire," U.S. news portal Axios said.

"Hezbollah has ignored repeated requests to stop firing at Israel, including a recent ultimatum. Israel will never be expected to passively absorb attacks on its forces and civilians. This is not the Biden Administration," the official told Axios.

The Israeli army intensified strikes in southern Lebanon on Monday, as Israeli Prime Minister Benjamin Netanyahu said he had ordered the military to escalate its offensive in Lebanon in an effort to "crush" Hezbollah.

The airstrikes come as the United States and Iran seek to finalize the terms of an agreement to end the Middle East conflict, which could include the Lebanon front, where Israel and Hezbollah have waged war since March 2.

Israeli Chief of Staff Eyal Zamir said in a limited security meeting on Sunday night that "buildings in Beirut should be attacked in response to Hezbollah's drone attacks," Israel's public broadcaster quoted informed sources as saying.

Israel's military warned residents of 10 villages, most of them in southern Lebanon, on Monday to evacuate their homes ahead of expected strikes against alleged Hezbollah targets.

"In light of Hezbollah's violation of the ceasefire agreement, the Israel Defense Forces (army) are compelled to operate against it with force," the military's Arabic-language spokesman, Avichay Adraee, said in a social media post, listing the names of the villages.

A draft MOU reached between Iran and the U.S. also "makes clear that the war between Israel and Hezbollah in Lebanon would end," U.S. news portal Axios reported.

French President's special envoy to Lebanon Jean-Yves Le Drian has warned of "a dangerous situation" in Lebanon, pointing out to divisions inside the country, regarding Israel and Hezbollah.

In an interview Thursday, Le Drian said Lebanon's unity and integrity are at risk, citing the Israeli occupation and accusing Hezbollah of being an Iranian proxy and choosing Iran's interests over Lebanon's.

The United States on Thursday sanctioned Hezbollah MPs Hassan Fadlallah, Hussein al-Hajj Hassan and Ibrahim al-Moussawi; Hezbollah official and ex-minister Mohammad Fneish, Amal Movement security officials Ahmad Baalbaki and Ali Safawi, Lebanese Army intelligence officer Samer Hamadi and General Security officer Khattar Nassereddine, and Iranian Ambassador-designate to Lebanon Mohammad Reza Sheibani, accusing them of enabling Hezbollah.