The Senate will start working on a compressive aid package for Israel despite dysfunction in the House of Representatives, which remains without a speaker, Senate Majority Leader Chuck Schumer said Sunday.

"We’re not waiting for the House. We believe if the Senate acts in a strong bipartisan way, it may indeed improve the chances that the House, even with its current dysfunction, will act," Schumer told reporters in Tel Aviv.

Schumer led a bipartisan delegation of senators to Israel to meet with high-ranking government officials following the Oct. 7 deadly terror attacks by Hamas. On Sunday, Schumer and other members of the delegation were rushed into a bomb shelter in Tel Aviv to wait out a rocket attack, according to a social media post from the New York senator.

-ABC News' Davone Morales

ABC foreign correspondent James Longman spoke with former Israeli Prime Minister Naftali Bennett, who said Israel has taken "a big hit, there's no way around that."

"But we're at war right now," he said. "We're between the first phase where we took the huge hit and the second phase where we're hitting back."

"Over the next few days, we're going to launch a massive attack on Hamas. It's going to be tough, it's going to be long," Bennett continued, later adding: "Israel is ready to fight."

Israeli Prime Minister Benjamin Netanyahu said Sunday during an during an emergency cabinet meeting, "Hamas thought we would be demolished. It is we who will demolish Hamas," Reuters reported.

Watch Bennett's interview here:

As time dwindles ahead of an anticipated Israeli ground invasion of Gaza, the U.S. is calling on fleeing citizens to head toward the southern border crossing to Egypt.

"We have been working around the clock. We have an entire dedicated team that is working on nothing but this: helping American citizens who are in Gaza be able to get safe passage through the border crossing to Egypt," Jake Sullivan told ABC "This Week" co-anchor Martha Raddatz on Sunday.

The U.S. Embassy in Jerusalem on Sunday morning urged U.S. citizens trapped in the Gaza Strip to move to southern Gaza along the main highway, the Salah al-Din Street.

"We are currently striking Hamas in its entirety," Israel Defense Forces Lt. Col. Peter Lerner told ABC News "This Week" co-anchor Martha Raddatz on Sunday.

"We did not ask for this war, but we will win it," he said.

Lerner also had a message for Hezbollah.

"I would highly recommend that Hezbollah watch very closely what is happening to Hamas and the organization in Gaza as we speak," he said. "They should be very cautious of crossing that threshold, because we are determined to defend the state of Israel."

Israeli forces have been engaging in skirmishes with the Lebanese militant group along Israel's northern border with Lebanon in the days since Hamas' surprise attack on Israel from Gaza on Oct. 7.

Watch the interview here:

-ABC News' Tal Axelrod

In remarks with Israeli Prime Minister Benjamin Netanyahu, Secretary of State Antony Blinken said at least 25 Americans had now been confirmed dead in Israel.

Netanyahu described some of the atrocities committed by Hamas.

"Hamas has shown itself to be an enemy of civilization: The massacring of young people in an outdoor music festival, the butchering of entire families, the murder of parents in front of their children and the murder of children in front of their parents. The burning of people alive, the beheadings," he said.

"Hamas should be treated exactly the way ISIS was treated," he said. "They shouldn't be spit out from the community of nations. No leader should meet them. No country should harbor them. And those that do should be sanctioned."

Blinken said he was speaking not only as an American diplomat, but as a Jew, a husband and a father of young children, saying it was impossible for him to look at photos of families killed "and not think of my own children."

"The same time that we've been shocked by the depravity of Hamas, we've also been inspired by the bravery of Israel citizens," he said. "The grandfather who drove over an hour to a kibbutz under siege, armed only with a pistol and rescued his kids and grandkids. The mother who died shielding her teenage son with her body, giving her life to save his -- giving him life for a second time."

Blinken remarked that some U.S. aid had already been delivered, and that more military aid was on his way. He said the administration would work with Congress to meet Israel’s additional needs and that bipartisan support for Israel was "overwhelming."

The secretary called on world leaders to condemn Hamas.

Blinken also reiterated that Israel "has the right -- indeed, the obligation -- to defend itself" but that it was "so important to take every possible precaution to avoid harming civilians."

-ABC News' Shannon Crawford