Hezbollah targeted Tuesday Israeli troops and positions including a command center in northern Israel as Israeli air strikes and artillery shelling targeted Lebanese border villages.

Hezbollah said it has targeted the Beit Hillel command center, inflicting casualties and groups of soldiers in the Jal al-Alam, al-Marj, and Ramim posts. The group had earlier targeted the Ramim post with Burkan missiles. It said all attacks were "direct hits."

Israeli Prime Minister Benjamin Netanyahu has said that an Israeli victory against Hamas in Gaza will deal a "fatal blow" to the Palestinian militants as well as other Iran-backed groups in the region.

"A complete victory will deal a fatal blow to the axis of evil that is Iran, Hezbollah, the Houthis and of course Hamas," Netanyahu said in an address to army commanders, according to a statement issued Monday by his office.

Senior White House adviser Amos Hochstein held talks overnight with senior officials in the Israeli government as part of American efforts to ease tensions on the border between the Israeli army and Hezbollah, as Israel’s Channel 12 reported “positive indicators and initial signs towards a diplomatic path that may lead to a political settlement that ensures that the war does not expand.”

The channel added that Hochstein brought with him to Israel “indications that there is room for a diplomatic settlement,” and said that these signals would not have existed “without the tacit approval” of Hezbollah.

Amal Movement is fighting "in front of Hezbollah" in south Lebanon, head of the movement and Parliament Speaker Nabih Berri said.

Amal has not announced any attack on Israel since the cross-border clashes began between Hezbollah and Israel on October, but its chief told al-Jadeed TV on Sunday that Amal is "resisting" in the south "within its military capabilities," which are far inferior to those of Hezbollah.

Israeli Foreign Minister Israel Katz said Monday "time is running out" to reach a diplomatic solution in south Lebanon, as tensions flare between the two countries, with daily cross-border fire.

"Israel will act militarily to return the evacuated citizens" to its northern border area if no diplomatic solution is reached to end the violence, Katz told his visiting French counterpart Stephane Sejourne, according to a statement issued by the Israeli foreign ministry.

Parliament Speaker Nabih Berri has heard from the Quintet's ambassadors that there is no veto on any presidential candidate.

Berri told al-Jadeed TV on Sunday that all the ambassadors including the Saudi ambassador have told him that the Quintet has no candidates and no veto on any name but would rather help the Lebanese choose their own president.

U.S. President Joe Biden's Middle East envoy Amos Hochstein has outlined the key elements of a proposed political settlement to deescalate tensions between Israel and Hezbollah during his visit to Israel on Sunday, Israeli newspaper Yedioth Ahronoth reported.

Hezbollah announced Monday the death of three of its members, as Israeli artillery shelled the outskirts of Dhaira, Tayr Harfa, al-Jebbayn and Zibqine in south Lebanon.

Hezbollah later claimed two attacks on Israeli posts in the occupied Shebaa Farms and Israel bombed the border towns of Mays al-Jabal, Rashaya al-Fokhar, Baraachit, al-Labbouneh, al-Naqoura, and Shihine.

Israel has attacked more than 50 Hezbollah targets in Syria and 3,400 in Lebanon since the war with Hamas in Gaza began in October, Israeli army spokesman Daniel Hagari said.

When Inas Tehini and her family fled their south Lebanon village after Hezbollah and Israel began exchanging fire in October, she thought they would be home in a matter of days.

But nearly four months later in a school turned shelter, her hopes for a swift return to normality have faded after Israeli strikes badly damaged the family home in Aita al-Shaab on the border, said the mother of three.