The Israeli military said it killed three Hezbollah members in south Lebanon, shortly after U.S.-sponsored Israel-Lebanon negotiations were held in Rome.

"Earlier today, IDF soldiers identified three armed Hezbollah terrorists in the area of Beit Yahoun, located within the Security Zone in southern Lebanon," the Israeli military said Wednesday in a statement.

Israel's Defense Minister Israel Katz told his U.S. counterpart Pete Hegseth early Thursday that Israel is determined to keep its forces in "security zones" it has carved out inside Lebanon, Syria and the Gaza Strip.

In a statement, Katz's office said the two men spoke overnight and the minister "emphasized Israel's determination to remain in the security zones in Syria, Gaza, and Lebanon in order to protect Israel's borders and the communities near the border from the threats posed by jihadist forces".

The talks between Lebanon and Israel have concluded in Rome and there is a possibility of another round of virtual military talks between the two countries on Friday to discuss the implementation of pilot zones, media reports said on Wednesday.

"Talks concluded after two days of productive and positive discussions. We agreed on the structure and guidelines for the pilot zone process, to be finalized and implemented in the coming days," a U.S. State Department official said.

U.S. President Donald Trump has confirmed that he would like to see Israel withdraw from “parts of Lebanon.”

Lebanon's parliament commenced a legislative session on Wednesday to discuss and vote on several bills, including an amnesty law that could cover swathes of prisoners.

More than 40 draft laws will be discussed and voted on in the two-day session, the most prominent being the abolition of the death penalty, which has not been carried out in years, and the amnesty.

U.S. President Donald Trump told Israeli Prime Minister Benjamin Netanyahu during a phone call last Thursday that Israel should start redeploying its forces out of Syria and urged him to do the same in Lebanon, U.S. and Israeli officials told U.S. news portal Axios.

MP Hassan Fadlallah of Hezbollah on Wednesday noted that the latest Israeli war on Lebanon was “premeditated and planned” in advance, suggesting that Israel attacked south Lebanon to “occupy and destroy the area south of the Litani River, seize it, expel its inhabitants, and establish settlements, just as the enemy did in Palestine and in 1967 in the West Bank, Gaza, and the Golan Heights.”

Israeli forces carried out huge detonations at dawn and in the morning in a number of valleys and homes in the southern towns of Beit Yahoun, Khiam and al-Qantara.

President Joseph Aoun told a delegation from the Orthodox Gathering on Wednesday that "the framework formula is the best possible option and has begun to yield results.”

Lebanon and Israel concluded the first day of Washington-mediated talks in Rome on Tuesday, a U.S. official said, as Israel said it was ready to move forward with plans to withdraw from two parts of southern Lebanon.