Israel-Gaza-Lebanon live updates: Israel kills 5 in central Beirut, officials say

Israel damaged some of Iran's nuclear program in its October attack, Israeli Prime Minister Benjamin Netanyahu said Monday.

Iran's air defense, ballistic missile production and ability to produce "solid fuel" were impacted, Netanyahu said during remarks to Israel's parliament.

"There is a certain element of their nuclear program that was damaged in this attack," he said, though added that its ability to operate "has not yet been thwarted."

Netanyahu said Iran's nuclear threat must be dealt with.

"If we don't deal with the nuclear program, then all the other problems will come back and resurface, both in the axis, and in armaments, and in other things," Netanyahu said.

Netanyahu also said Israel is "currently talking about possible negotiations for a settlement" to be reached between Israel and Lebanon, but added, "Even if there is a cease-fire, no one says it will last."

-ABC News' Jordana Miller

U.S. envoy Amos Hochstein is on his way to Lebanon for talks on a cease-fire between Hezbollah and Israel, an official familiar with the plans confirmed to ABC News.

Hochstein left from the U.S. for Lebanon on Monday, the official said.

Israel is getting close to being ready to agree to the U.S.-backed cease-fire proposal, which is very similar to the proposal that was floated by the U.S. at the end of September. The U.S. needs to see how Hezbollah feels about this proposal, which is what Hochstein aims to do during his trip, according to the official.

-ABC News' Shannon K. Kingston

Four people were killed and at least 18 injured in an Israeli attack in Beirut, the Lebanese Ministry of Public Health said Monday.

-ABC News' Ellie Kaufman

A woman was killed and 10 people injured after a Hezbollah rocket directly hit a residential building in northern Israel, Israeli emergency services said Monday.

Dozens of projectiles were fired by Hezbollah from Lebanon into Israel Monday afternoon, the Israel Defense Forces said. Not all of the projectiles were intercepted, the IDF said.

-ABC News' Jordana Miller