Hezbollah has responded to far-right Israeli Minister Ben Gvir's calls for war, with the group saying it's ready.

"If 'Israel' wants to wage an all-out war, we are ready for it. Any Israeli expansion of the war on Lebanon will be met with devastation, destruction and displacement in Israel," Deputy Secretary General of Hezbollah Sheikh Naeem Qassem told Al Jazeera Tuesday.

"Our decision is not to expand the war, but we will fight it if it is imposed on us," he said.

He also claimed that President Joe Biden's cease-fire proposal is a political move ahead of the election.

"There is no serious American decision to stop the 'Israeli' war on Gaza," Qassem said.

-ABC News' Nasser Atta

Hamas will not accept a Gaza truce deal without clear commitment from Israel to a permanent cease-fire and a complete withdrawal from the Gaza Strip, Hamas official Osama Hamdan said Tuesday.

"We have communicated our position to the mediators that we cannot agree to a deal unless there is a clear position from the Israeli occupation it is committed to a permanent cease-fire and a comprehensive withdrawal from the Gaza Strip,” Hamdan said during a press conference in Beirut.

Hamdan said he does not believe Israel will commit to a cease-fire and called on Israel to submit a clear position of its readiness for a permanent cease-fire and complete withdrawal from Gaza.

"We cannot agree to a deal that does not secure, guarantee and confirm a permanent cease-fire, comprehensive withdrawal from the Gaza Strip and the completion of a serious and real exchange deal," Hamdan said.

"We asked the mediators to obtain a clear position from the Israeli occupation regarding its commitment to a permanent cease-fire and a comprehensive withdrawal," he added.

-ABC News' Ayat Al-Tawy

Hamas officials are not responding favorably to President Joe Biden's speech Friday and what they call the current proposal on the table.

A Hamas leader said no Hamas delegation has gone to Cairo, and the group is not accepting the offer given to them by mediators, the leader told Al-Mayadeen, a Lebanese news channel.

"We do not want to start from scratch, and our basic condition now is official Israeli approval of the previous paper, otherwise there will be no rounds and discussions," the leader said to Al-Mayadeen.

Separately, senior Hamas official Sami Abu Zuhri said the group frowns upon Washington and the West's calls for it to accept Biden's proposal on Gaza "as if it is Hamas who is hampering the deal," he said Tuesday.

Israel is not serious about reaching a deal in Gaza and is still maneuvering under the U.S.'s cover, Abu Zuhri said to Hamas media.

-ABC News' Nasser Atta

Qatar’s foreign ministry said on Tuesday it was "too early" to reach a cease-fire deal and that there should be a clear position from both sides on the U.S. truce proposal.

"We are waiting for a clear Israeli position that represent the entire Israeli government," Qatari foreign ministry spokesperson Majed Al-Ansari told reporters during a press briefing on Tuesday. "Any talk of reaching a deal needs a clear position from both sides towards ideas put on the table."

The deal should offer a road map for a permanent cease-fire and an end to the war, he said.

"It is too early thus far. We do not have clear positions from both sides," he said, adding that mediators remain hopeful as they push ahead with efforts to reach a deal but are "not always optimistic."

-ABC News' Ayat Al-Tawy

Centrist Israeli minister Benny Gantz announced Sunday that he was resigning from the emergency government because of what he has described as a lack of a plan from Israeli Prime Minister Benjamin Netanyahu for the "day after" in Gaza.

During a televised news conference, Gantz announced he was resigning from the coalition government, taking with him his State Party and the seats it held in the Knesset. Netanyahu's coalition government will still retain a majority, but the move by Gantz is considered a major blow to the prime minister.

"Netanyahu is preventing us from progressing towards a true victory," Gantz said. "For this reason, we are leaving the emergency government today, with a heavy heart, yet wholeheartedly."

He also called on Netanyahu to set a date for elections.

Gantz was set to make the announcement on Saturday but called it off amid the news of an Israel Defense Forces operation in Gaza that led to the rescue of four Israeli hostages.

Gantz is a member of Israel’s three-member war Cabinet, which includes Netanyahu and Defense Minister Yoav Gallant.

On Saturday, Netanyahu appealed to Gantz on X, saying, "This is the time for unity and not for division. We must remain united within ourselves in the face of the great tasks before us. I call on Benny Gantz -- do not leave the emergency government. Don't give up on unity."

Following Gantz's resignation, Netanyahu released a statement on X, saying, "Israel is in an existential war on several fronts."

"Benny, this is not the time to abandon the campaign -- this is the time to join forces," Netanyahu said. "Citizens of Israel, we will continue until victory and the achievement of all the goals of the war, primarily the release of all our hostages and the elimination of Hamas."

Netanyahu added, "My door will remain open to any Zionist party that is ready to get under the stretcher and assist in bringing victory over our enemies and ensuring the safety of our citizens."

In May, Gantz issued an ultimatum to Netanyahu, saying he would resign if the prime minister did not approve a post-war plan by June 8, saying at the time, "While the Israeli soldiers show supreme bravery on the front, some of the men who sent them into battle behave with cowardice and irresponsibility."

-ABC News' Jordana Miller