The U.S. believes there are eight or nine Americans still being held in Gaza, National Security Council spokesperson John Kirby said, adding that the U.S. does not have "solid information on each and every one of them."

Asked if Americans were expected to be released in the coming days, Kirby said the administration "certainly hope[s] so," but did not say more.

"I mean, we're going to watch this very, very closely. We're certainly hoping that another batch of hostages gets released today as part of the fourth and final day of the original agreement. We’re going to be watching closely to see if any Americans are in that group," Kirby said.

"We don't really know until you get into the end game who's going to be actually on that list and then, even then, you got to watch closely [to see] if who's on the list is folks that actually come out," he said.

Kirby was asked specifically about the two American women who were expected to be part of the first round of releases, and he reiterated his hope they would be released Monday.

-ABC News' Molly Nagle

Hamas officials said they've received a list of Palestinian prisoners who are expected to be released from Israel on Monday in exchange for hostages. The list includes three women and 30 children, Hamas officials said.

Muhammad Ibrahim Asfour was among the Gaza residents who returned home during the cease-fire to find destruction where homes used to be.

"I was shocked, and when I saw the house I started crying," Asfour told ABC News. "There were 50 people in the building here -- all of my brothers and father were living here."

"The situation here is more difficult than you can imagine," Abdelkader Darma told ABC News. "When I came home I was shocked."

"People do not know where to go," Darma said. "I and six other people slept on two mattresses and two pillows, which means you do not know how to sleep. They sleep three against three, and you find his feet in front of your face."

“I hope the truce will be extended and a solution will be found because it is enough. People are sleeping in the street," Darma said. "How can you bear it?"

-ABC News' Zoe Magee and Sami Zayara

Majed Al-Ansari, spokesperson for Qatar's Ministry of Foreign Affairs, said an agreement has been reached to extend the humanitarian truce between Israel and Hamas for two more days.

Hamas said this truce is "under the same conditions as the previous truce."

Diaa Rashwan, chairman of Egypt's State Information Service, said earlier on Monday that the deal would involve the release of 10 Israeli women and children being held hostage by Hamas in exchange for 30 Palestinians detained in Israeli prisons each day of the extension.

The Israel Defense Forces "is prepared to continue fighting" in the Gaza Strip and is "using the days of the pause as part of the framework to learn, strengthen our readiness and approve future operational plans," according to IDF Chief of Staff Lt. Gen. Herzi Halevi.

"The return of the hostages is a bright light for us all," Halevi said in a statement on Tuesday. "It is also further evidence of the results of significant military pressure and resolute ground operations, which created the conditions for the return of our civilians home."

Halevi vowed "to apply the same strength" if needed in northern Israel, where he said some residents have been evacuated from their homes amid clashes along the border between Israeli forces and Lebanese militant group Hezbollah.

"The IDF's ground operations in Gaza City, a dense and complex area, aim to achieve a worthy and necessary goal," he said. "We know, if required, how to apply the same strength in the north, in order to return you safely to your communities, cities and this beautiful and important region of the country."

-ABC News' Morgan Winsor