Israeli Defense Minister Yoav Gallant said Thursday that he has approved more “offensive operations” in Lebanon, together with the army chief, the head of the intelligence division and the head of the army’s operations division.

The diplomatic efforts are advancing and expect a Lebanon-Israel ceasefire soon, sources informed on the negotiations in New York told Lebanon’s MTV on Thursday.

The Biden administration is working on a new diplomatic initiative for a "pause" in the fighting in Lebanon and a resumption of negotiations on a Gaza hostage and ceasefire deal, two U.S. officials, one Israeli official and two sources with direct knowledge told U.S. news portal Axios.

Israel’s Northern Command chief General Ori Gordin inspected an army exercise on Lebanon’s border on Tuesday and said troops there “must prepare very strongly to move to a ground maneuver.”

Parliament Speaker Nabih Berri revealed to Asharq al-Awsat newspaper on Wednesday that he is carrying out “serious efforts” with international parties, including the U.S., to halt the ongoing Israeli escalation against Lebanon.

Caretaker Minister of Foreign Affairs and Emigrants Abdallah Bou Habib has participated in the opening session of the 79th session of the United Nations General Assembly in New York, in the presence of U..N Secretary-General Antonio Guterres, and a large number of world leaders, kings and heads of state.

A Lebanese security source said an Israeli strike hit Hezbollah's south Beirut stronghold Tuesday, with the Israel army confirming it carried out a "targeted" strike in Beirut's southern suburbs.

At least six people were killed and 15 others wounded in the strike, the Health Ministry said.

Washington is conducting negotiations on the security developments between Lebanon and Israel on the sidelines of the U.N. General Assembly, sources have told Sky News Arabia.

Israeli Prime Minister Benjamin Netanyahu told Israel's security cabinet on Monday that Israel's aim in its military operations in Lebanon is to cut “Hezbollah from the war with Hamas,” an Israeli official told CNN.

The same official said the cabinet has agreed to continue to raise the level of military operations every day. Israel is aware of the risks, the source said, and is ready to stop at any moment. “It is up to Hezbollah,” the source said.

The United States is presenting “concrete” ideas to ease the crisis in Lebanon, a U.S. official said, while voicing opposition to any Israeli ground invasion to target Hezbollah.

“We’ve got some concrete ideas we’re going to be discussing with allies and partners this week to try to figure out the way forward on this,” the senior U.S. official said as world leaders gathered in New York for the U.N. General Assembly.