Hamas leader Osama Hamdan has released a statement indicating Hamas does not accept the latest iteration of the cease-fire proposal as written.

Hamas insists that changes added by Israel since July 2 are non-starters for them, specifically, Israel Defense Forces positions in the Philadelphi corridor, an eight-and-a-half-mile long demilitarized buffer zone running along the border between Egypt and Gaza. Hamas also objected to a proposal for non-Palestinian control of the Rafah border crossing.

Hamdan said Hamas will not return to the cease-fire talks as long as the new conditions stay in the proposal.

"The occupation set new conditions for accepting the agreement and backed away from what it had previously agreed to," Hamdan said in a statement. "The delegation informed the mediators today of our opinion."

-ABC News' Victoria Beaule

An Israeli soldier was killed and two others were injured Sunday "in combat in northern Israel," the Israel Defense Forces announced.

The circumstances of what led to the death and injuries of the soldiers were not immediately disclosed by the IDF.

The soldier who was killed was identified by the IDF as Petty Officer 1st Class David Moshe Ben Shitrit, 21, of Geva Binyamin, Israel. The soldier was a member of the Israeli Navy's 914th Fleet, according to the IDF.

The two soldiers who suffered light to moderate injuries are also members of the 914th Fleet, according to the IDF. Their names were not immediately released.

-ABC News' Anna Burd and Jordana Miller

A U.S. official reaffirmed Sunday that the United States was not involved in Israel's preemptive strike Saturday night on Hezbollah targets in Lebanon but had provided Israel some intelligence, surveillance and reconnaissance information believed to have been used in the mission.

The U.S. had provided some “ISR support in terms of tracking incoming Lebanese Hezbollah attacks but did not conduct any kinetic operations as they were not required," the official said.

"We continue to closely monitor the situation and remain well-postured and ready to support the defense of Israel from attacks by Iran and any of its proxies, to include Lebanese Hezbollah," the official said.

At least three people were killed overnight in the Israeli strikes on Hezbollah targets in southern Lebanon, the Lebanese Ministry of Public Health said Sunday. The casualties included two people who were killed in the village of At Tiri and one in the town of Khiam, the ministry said, adding that two additional people were injured and required hospitalization.

-ABC News' Luis Martinez

The Israel Defense Forces announced a new evacuation order Sunday for a small strip of land in a humanitarian area of central Gaza.

The new evacuation order for an area of Deir al-Balah came just days after the IDF ordered the evacuation of two refugee camps in the same area as the Israeli military prepared for a new ground offensive in the humanitarian zone.

The IDF suspects that Hamas terrorists are hiding in the area and using Palestinian refugees as human shields.

Sunday's evacuation order affected those living in a relatively small area of Deir al-Balah that includes five schools sheltering displaced people and tent camps around them.
The area is near the Al Aqsa Martyrs Hospital, one of the largest remaining functional hospitals in Gaza, servicing all of central Gaza.

-ABC News' Bictoria Beaule