Israel will not send a delegation for further talks on a cease-fire deal, an Israeli source confirms to ABC News.

The U.S., Egypt and Qatar are still trying to pressure Hamas to return to the outline of a cease-fire deal presented by President Joe Biden.

Hamas in a statement Thursday said they have "demonstrated, in all stages of negotiations to stop the aggression, the required positivity to reach a comprehensive and satisfactory agreement, based on the fair demands of our people for a definitive cessation of aggression, a complete withdrawal [of IDF forces] from the Gaza Strip, the return of the displaced, the reconstruction and a serious prisoner exchange deal."

A "significant portion" of people living in the Gaza Strip are "now facing catastrophic hunger and famine-like conditions," the head of the World Health Organization said, as neighboring Israel continues to restrict supplies of food and other basic necessities to the war-torn enclave.

"Despite reports of increased delivery of food, there is currently no evidence that those who need it most are receiving sufficient quantity and quality of food," WHO Director-General Tedros Adhanom Ghebreyesus said at a press briefing Wednesday.

More than 8,000 children under the age of 5 in Gaza have been diagnosed and treated for acute malnutrition, including 1,600 with severe acute malnutrition. But only two stabilization centers for severely malnourished patients can currently operate in Gaza due to insecurity and lack of access, according to Tedros.

At least 32 deaths in Gaza since the war with Israel began on Oct. 7 have been attributed to malnutrition, including 28 among children under 5 years old, Tedros said.

More than 1 million people in Gaza -- half of the territory's population -- are "expected to face death and starvation by the middle of July," according to the most senior official dedicated to humanitarian affairs at the United Nations.

-ABC News’ Morgan Winsor

Over 40 projectiles have been launched from Lebanon across Israel's northern border toward the Galilee and Golan Heights area since Thursday morning, Israeli military officials told ABC News.

Two people were hit by shrapnel and wounded in the Golan Heights, according to Israeli Emergency Services.

The Israel Defense Forces said military exercises are continuing in the north to increase readiness.

-ABC News’ Dana Savir, Jordana Miller, Tom Soufi Burridge and Hugo Leenhardt

Hamas’ new demands in response to the latest cease-fire proposal include an insistence that the timetable be moved up for the withdrawal of Israeli troops from all Gazan territory, according to a U.S. official with knowledge of the negotiations.

The official also said that Hamas communicated additional demands for assurances that a lasting cease-fire would be achieved that were not included in the previous version of the agreement.

In the first days of May, Hamas seemingly accepted a hostage deal presented by Qatar and Egypt, only for Israel to say it had not signed off on that draft, sparking mass confusion. Later, Israel did say it would return to the negotiating table, which eventually led to the formation of the proposal on the table.

-ABC News’ Shannon Crawford

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.