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

At least 40 people were killed -- 14 of whom were children -- and at least 74 others were injured in the Israeli strike on an UNRWA school at the Nuseirat Refugee Camp, the Gaza Ministry of Health said Thursday.

Israeli officials have claimed that the strike was targeting Hamas and Islamic Jihad terrorists "hiding inside the school," IDF spokesman Daniel Hagari said during a press briefing Thursday.

The U.S. State Department said Israelis have claimed they were targeting "only one part of the building without hitting areas where civilians were sheltering," spokesperson Matt Miller said Thursday.

"At the same time, we've seen the reports on the ground. We’ve seen the videos on the ground. We've seen the claims that 14 children were killed in the strike and certainly if ... it is accurate that 14 children were killed, those aren’t terrorists. And so the government of Israel has said that they're going to release more information about this strike, including the names of those who died in it," Miller said. "We expect them to be fully transparent in making that information public."

U.N. Secretary-General Antonio Guterres condemned the strike on the school, which the U.N. said was sheltering some 6,000 internally displaced persons, in a statement.

A spokesperson for Guterres said, "He underscores that UN premises are inviolable, including during armed conflict and must be protected by all parties at all times. The Secretary-General calls on all parties to respect and protect civilians, and ensure their essential needs are met, in accordance with international humanitarian law."

-ABC News' Sami Zayara, Jordana Miller and Shannon Crawford