The Lebanese response to the U.S. ceasefire proposal has entered the final formulation phase and is supposed to be finalized today, Monday before being sent to U.S. mediator Amos Hochstein through the U.S. Embassy in Beirut, highly informed sources said.

The Israeli military said Hezbollah fired around 100 projectiles from Lebanon into northern Israel on Monday, with Israel's air defense system intercepting some of them.

Israeli firefighters said a rocket strike on a building in the northern Israeli town of Shfaram killed a woman, while first responders reported 10 mildly injured people.

Lebanon's health ministry said Monday 10 people died in Israeli strikes on central Beirut a day earlier, after Hezbollah said four members were killed alongside its spokesman in one attack.

Israel has been heavily bombing Beirut's southern suburbs, a Hezbollah stronghold, since all-out war erupted on September 23, but attacks on central Beirut have been rarer.

Israeli strikes Sunday have killed 11 people and wounded dozens more in Lebanon’s southern Tyre region, the Lebanese health ministry said.

"The raids of the Israeli enemy on villages in the Tyre district have left 11 dead and 48 wounded," said a ministry statement.

Schools in Beirut were closed on Monday after Israeli strikes on the Lebanese capital killed six people including Hezbollah's spokesman.

Education Minister Abbas Halabi announced Sunday that schools and higher educational institutions in Beirut and surrounding areas would close for two days, after Israeli strikes hit the city center.

An Israeli airstrike hit a computer shop in central Beirut's Mar Elias area on Sunday evening, killing two people and wounding 13, the Health Ministry said.

Al-Arabiya television identified the target of the strike as "Hezbollah military commander Mahmoud Madi," saying the computer shop is owned by his brother.

U.S. mediator Amos Hochstein will visit Beirut on Tuesday and Israel on Wednesday as part of his efforts to push the ceasefire deal forward and amid reported progress in the negotiations, media reports said.

The United Nations Interim Force in Lebanon said on Sunday that a peacekeeping patrol was fired upon "about 40 times" a day earlier, with the culprit "likely from non-state actor members."

The Lebanese army said an Israeli attack on Sunday killed two soldiers, accusing Israel of directly targeting their position in south Lebanon where the Israeli military is fighting Hezbollah.

Hezbollah spokesman Mohammad Afif was killed Sunday in a rare Israeli airstrike targeting the center of the capital Beirut -- outside Hezbollah's traditional strongholds of Dahieh, the south and the Bekaa, a Hezbollah official said.

The strike -- in the Ras al-Nabaa area near Sodeco Square -- targeted a building containing the headquarters of the Lebanese branch of the Baath Party that rules Syria. A Baath member who survived the strike said the building also contained an apartment housing displaced Lebanese.