Israel-Gaza updates: Police killed in border shooting, authorities say

White House national security communications adviser John Kirby hedged on reports that the U.S. is putting forward a "final proposal" when it comes to hostage negotiations, saying the administration -- including President Joe Biden – is still working to get a deal.

Kirby refused to give any details about the current proposal, or how it might differ from previous offers put forward, but he stressed that the deal is "actively" being worked on with Qatar and Egypt.

"The president himself is personally involved in working with our team and working with leaders around the world to secure this deal,” Kirby said, adding that this weekend’s recovery of six slain hostages "underscores the sense of urgency that we have."

Asked about the United Kingdom’s new restrictions on some arms exports to Israel, Kirby said he would not "comment one way or another on the decisions that our British counterparts made."

U.K. Foreign Secretary David Lammy told Parliament on Monday about 30 of its 350 export licenses were suspended because "there does exist a clear risk that they might be used to commit or facilitate a serious violation of international humanitarian law."

"I can just tell you that, No. 1: We're going to continue to do we have to do to support Israel's defensive capabilities," Kirby said. “No. 2: We have, as I've said many times, reviewed individual reports as best we can, and talking to the Israelis about individual reports about compliance with international humanitarian law. And as we speak, there's been no determination by the United States that they have violated international humanitarian [law].”

-ABC News’ Molly Nagle

Al-Shifa Hospital, the largest and most comprehensive hospital in the Gaza Strip, reopened two of its departments on Sunday after facing shelling, raids and two sieges in the ongoing war, Al-Shifa Medical Complex Director Dr. Marwan Abu Saada told ABC News.

The reopened departments are the Emergency and Accidents Department -- which has 70 beds, two operating rooms, one intensive care unit room and one X-ray room -- and the Kidney Dialysis Department, which has about 22 kidney dialysis machines and serves 36 patients with kidney failure, Abu Saada said.

The hospital had capacity for 800 beds before the war, Abu Saada said.

"As for the medical staff, there is a large deficit in medical personnel, but at least we want to work and serve the community," he said.

The maternity building will undergo a six-month restoration to become a general surgery building, he added.

-ABC News’ Camilla Alcini

The Hostages and Missing Families Forum announced a fresh protest scheduled for 7 p.m. local time Tuesday in Tel Aviv, close to the entrance of the Defense Ministry building.

The action will be "led by the younger members of the families," the Forum wrote in a post on X, who will "call for a deal to bring all 101 hostages home."

Attendees will protest what the Forum called "the abandonment of the hostages in Hamas captivity."

Additional demonstrations elsewhere will include a gathering outside the Weizmann Institute of Science in Rehovot, a protest outside Foreign Minister Israel Katz's residence in Kfar Ahim, one in front of Agriculture Minister Avi Dichter's home in Ashkelon and another outside Deputy Prime Minister Yariv Levin's home in Modi'in.

-ABC News' Jordana Miller and David Brennan

Some 160,000 Gaza children received their first vaccination for polio on Sunday and Monday, according to the Hamas-run health ministry.

The emergency rollout began on Sunday, facilitated by a partial pause in fighting in the strip. Medical teams in the central part of the territory said they were able to vaccinate 72,611 children on the first day of the campaign.

Palestinian health authorities and United Nations agencies said they were hoping to vaccinate 640,000 children during the push. Israel agreed to some pauses in fighting to support the campaign, though airstrikes have continued in its first two days.

Israel has said the vaccination program will continue through Sept. 9 and last eight hours a day.

Polio is among the illnesses feared to be thriving in Gaza after 10 months of war. The strip's long-standing humanitarian difficulties have been exacerbated by the destruction of health care facilities, critical infrastructure, and the displacement -- sometimes repeated displacement -- of most of the territory's residents.

Gaza recently reported its first polio case in 25 years -- a 10-month-old boy, now paralyzed in a leg. The World Health Organization said the case suggests there could be hundreds more infected who are not symptomatic.

-ABC News' Will Gretsky and David Brennan