Al-Qaida, citing Gaza's Al-Shifa Hospital, 9/11 and Benghazi, released a new statement calling for its followers to attack U.S. and Israeli targets, especially embassies, and to attack where they are without warning.

About 40 trucks carrying equipment for a Jordanian field hospital crossed from Egypt into Gaza via the Rafah border crossing on Monday, a border official told ABC News.

The convoy included 180 medics and nurses.

Health officials said the hospital will be set up in the southern Gaza city of Khan Younis.

Dozens of premature babies are expected to be transported from the war-torn Gaza Strip into neighboring Egypt on Monday to receive emergency medical treatment.

The babies arrived on Gaza's side of the Egyptian-controlled Rafah border crossing on Monday afternoon. Egyptian television footage showed Egyptian doctors moving the babies from Palestinian ambulances into mobile incubators. The infants will then be taken via Egyptian ambulances to nearby hospitals in the North Sinai province of northeastern Egypt, which shares a border with Gaza.

The Palestinian Red Crescent Society confirmed that its ambulance teams had transferred 28 premature babies to Egyptian medics at the Rafah border crossing on Monday afternoon. The process was done in coordination with the World Health Organization and the United Nations Office for the Coordination of Humanitarian Affairs, according to the Palestinian Red Crescent Society.

At least 12 of the babies who are said to be in deteriorating condition will be airlifted to Egypt's capital, Cairo, according to Egyptian media.

Rick Brennan, regional emergency director for the WHO's Regional Office for the Eastern Mediterranean, said in a statement, "We are cautiously optimistic that they will do well but we have to watch them very, very closely. They can still develop further complications. ... They are not out of the woods yet by any means. So they will need that intensive care for some time to come."

Three babies were in stable condition and didn't need to be transferred to Egypt for more treatment, according to the World Health Organization.

Earlier Monday, Egyptian TV footage showed medics with incubators at the Rafah border crossing as they prepared to receive the tiny patients. Egypt's heath minister was also seen on site inspecting the preparations.

The babies were evacuated on Sunday from Gaza's largest medical complex, Al-Shifa Hospital in Gaza City, and brought to Emirati Hospital in Rafah, a city in southern Gaza close to the border with Egypt.

Like many hospitals in Gaza, Al-Shifa has been struggling to function with a lack of electricity as well as limited fuel and medical supplies amid Israel's continued bombardment of the territory. In recent days, Israeli ground troops have been carrying out a raid at Al-Shifa Hospital, searching for evidence that Gaza's militant rulers, Hamas, were using the complex as a command center. The WHO described Al-Shifa Hospital as a "death zone" and urged a full evacuation after leading an assessment mission there on Sunday.

-ABC News' Ayat Al-Tawy, Guy Davies and Morgan Winsor

The Israel Defense Forces and the Israel Securities Authority announced in a joint statement Monday that their troops have killed three more Hamas commanders while continuing ground operations in the Gaza Strip.

"IDF fighter jets, directed by IDF and ISA intelligence, killed three additional Hamas company commanders," the statement read in part. "In addition, IDF troops identified a terrorist cell as they entered a nearby building. As a result of the strike carried out by an IDF aircraft, the terrorists were killed and a weapons depot in which they hid was struck."

There was no immediate confirmation or comment from Hamas.

-ABC News' Dorit Long and Morgan Winsor

Negotiations to free some of the people who were taken hostage by Hamas during the Oct. 7 attack on Israel are closer than they have ever been before, according to Qatari Ministry of Foreign Affairs spokesperson Majed Al-Ansari.

"Mediation has reached a critical and final stage and has gone past key issues. What remains are limited issues and therefore we are the closest we have come to reaching an agreement since the beginning of this crisis," Al-Ansari said during a press briefing in Doha on Tuesday, adding that "we hope and seek to make this happen soon."

Al-Ansari noted that it is very important to "choose the right time to announce the details" of Qatar's mediation efforts in the latest outbreak of war between Israel and the Gaza Strip's militant rulers, Hamas.

A Hamas leader in Beirut, Osama Hamdan, told ABC News on Tuesday morning that they are "waiting for the Israeli side to accept the deal." However, he added a caveat: "Many times in the past, we were close to a deal and Netanyahu undermined the deal. By the end of the day things will clear and we will see what the results of it."

Hamdan would not expand on details of the deal, including how many hostages would be released, telling ABC News: "No specifics on the numbers but it's around what the media is talking about, which is around 50. But nothing is final."

Meanwhile, there will likely be three separate steps of approval for an agreement to go through on the Israeli side. The Israeli government will announce that a deal has been reached that needs to be voted on. Then, Israel's security cabinet will vote to approve said agreement. Finally, Israeli law requires a 24-hour waiting period during which time the Supreme Court of Israel may need to be involved, to defend the deal from anyone who attempts to contest it.

Sources have told ABC News that a potential deal would involve the release of around 50 hostages, all women and children, in exchange for a five-day cease-fire, the release of dozens of Palestinian women and children from Israeli prison and a large influx of humanitarian aid into Gaza, including fuel. It may take multiple days for hostages to be released because they are not all being held together and some are held by splinter groups, according to sources.

-ABC News' Ayat Al-Tawy, Nasser Atta, Victoria Beaulé, Matt Gutman, Jordana Miller, Kirit Radia and Morgan Winsor