Prime Minister Benjamin Netanyahu has made his first public statement regarding the death of eight Israeli soldiers in southern Gaza, mourning their deaths.

"Citizens of Israel, today we paid a heart-rending price in our just war in defense of our homeland. With deep sorrow, and in heavy mourning, I bow my head together with all citizens of Israel and weep over the fall of our heroic fighters: Deputy company commander in an engineering battalion, Capt. Wassem Mahmoud and additional heroic soldiers whose names have yet to be released," Netanyahu said in a statement Saturday.

Netanyahu said Iran's "axis of evil" will continue trying to "destroy us if we do not stop it."

"Despite the heavy and unsettling price, we must cling to the goals of the war: The destruction of Hamas's military and governing capabilities, the return of all of our hostages, making certain that Gaza will never again constitute a threat to Israel and the return of our residents securely to their homes in both the north and the south," Netanyahu said.

"We are in the midst of a very difficult war. The war is being conducted on several fronts, including the international front. We are ready for many additional challenges. It is at this time that we must show our people's strength of spirit, thanks to which we have overcome all of our enemies," Netanyahu said.

After repeated warnings from the World Food Programme, UNICEF and the World Health Organization about an imminent famine in Gaza, over 50,000 children in Gaza now require treatment for malnutrition, the United Nations Relief and Works Agency for Palestine Refugees in the Near East released said in a statement Saturday.

"With continued restrictions to humanitarian access, people in #Gaza continue to face desperate levels of hunger. Over 50,000 children require treatment for acute malnutrition UNRWA teams work tirelessly to reach families with aid but the situation is catastrophic," the UNRWA said in a statement on X.

Eight Israeli Defense Forces soldiers were killed in an "incident" in southern Gaza, according to the IDF.

Earlier Saturday, Hamas released a statement saying an operation targeting Israeli military vehicles in Rafah killed several IDF soldiers. The IDF has not commented on the nature of the soldiers' deaths.

-ABC News' Nasser Atta and Yael Benaya

Andrey Kozlov, one of the four Israeli hostages rescued from Gaza on Saturday, is urging Israelis to gather Saturday at "Hostage Square" in Tel Aviv in support of the hostages and their families.

"I'm already in Israel at home. But a lot of hostages are still there in Gaza," Kozlov, 27, said in a video message. "I saw a lot of rallies on Saturday, and it gave me a lot of hope."

Kozlov’s girlfriend told ABC News this week that Kozlov was psychologically tortured while in captivity, and she said that he told her the moment he realized the Israeli soldiers were there to save him, he felt he was reborn.

State Department spokesperson Matt Miller on Thursday shed little light on the next steps for negotiations toward a cease-fire deal, but dismissed the idea that Israeli Prime Minister Benjamin Netanyahu’s and other Israeli officials’ lack of public enthusiasm for the proposal soured the chances that Hamas would accept it.

"I personally doubt that comments, or lack of comments, from the Israeli government had anything to do with the Hamas response," he said. "We were disappointed both that it took so long to get a response and that the response had a number of changes that could drag the negotiations out further."

Miller was also reticent to discuss remaining sticking points, but on multiple occasions, he dismissed the idea that Hamas should need assurances for a lasting peace, emphasizing that if the proposal were enacted, the cease-fire prescribed under phase one of the deal would last as long as negotiations did.

"At least we would have had a cease-fire. We would have had a halt to the suffering," Miller said. "Hamas didn't do that. Instead, they dragged it out for 12 days, and now there will be continued haggling and delay."

-ABC News’ Shannon Crawford