Eleven more hostages who were abducted from Israel on Oct. 7 have been released and are in the custody of the Red Cross, an Israeli Defense Forces spokesperson said.

The 11 hostages released from Gaza Monday were dual citizens -- from Israel as well as France, Germany and Argentina -- while the 33 released Palestinians are comprised of 30 minors and three women, Qatari officials said.

Israel identified the returned hostages as 12-year-old Eitan Yahalomi, 51-year-old Karina Engel-Bart, 18-year-old Mika Engel, 12-year-old Yuval Engel, 34-year-old Sharon Aloni-Cunio, 3-year-old Yuli Cunio, 3-year-old Emma Cunio, 16-year-old Sahar Calderon, 12-year-old Erez Calderon, 16-year-old Or Yaakov and 12-year-old Yagil Yaakov.

The cease-fire between Israel and Hamas "has allowed for a surge of humanitarian assistance into Gaza," National Security Council spokesperson John Kirby noted.

Two-hundred trucks were dispatched to Gaza on Sunday -- the biggest convoy of aid since Oct. 7, Kirby said. Over 2,000 trucks have now entered Gaza, he said.

With two more days now added to the cease-fire, there's "the chance for dozens more trucks, and tens of thousands of more gallons of fuel, that can get into Gaza to people in need," Kirby said. "We're going to take advantage of every hour of every day that there's a pause to try to help the people of Gaza."

-ABC News' Cheyenne Haslett

President Joe Biden touted the extension of the humanitarian pause in Gaza, saying in a new statement that he has "remained deeply engaged over the last few days to ensure that this deal -- brokered and sustained through extensive U.S. mediation and diplomacy -- can continue to deliver results."

Fifty-eight hostages -- 40 Israelis and 18 foreign citizens -- have been released so far, including 4-year-old American-Israeli Abigail Idan. Abigail was released on Sunday, two days after her 4th birthday.

Biden said he "spoke with Abigail’s family following her release, and we are working closely with our Israeli partners to ensure she gets the care and support she needs as she begins to recover from this unspeakable trauma."

Biden also noted, "We are taking full advantage of the pause in fighting to increase the amount of humanitarian aid moving into Gaza, and we will continue our efforts to build a future of peace and dignity for the Palestinian people."

The president thanked leaders from Israel, Qatar and Egypt for their continued work, and vowed, "We will not stop until all of the hostages held by Hamas terrorists are released."

-ABC News' Molly Nagle

While the cease-fire extension is expected to bring the release of additional hostages, National Security Council spokesperson John Kirby acknowledged there's a "real risk" that Hamas could benefit the longer the cease-fire continues.

"Without getting into intelligence issues," Kirby said, "any pause in the fighting could benefit your enemy in terms of time to refit, to rest your fighters, to rearm them, reequip them."

Kirby said the cease-fire is a "calculated risk" that Israeli Prime Minister Benjamin Netanyahu is willing to take to get hostages out, and that military operations will resume against Hamas leadership.

-ABC News' Molly Nagle

The United States will send three relief flights into Egypt on Tuesday to keep up the flow of humanitarian aid into the war-torn Gaza Strip, which has reached its highest levels as officials take advantage of the current humanitarian pause.

"The movement over the last four or five days of assistance has been so significant in volume that a backfill in El Arish [International Airport in Egypt] is now needed, and these planes are part of that backfill," a senior Biden administration official told reporters during a telephone call on Monday afternoon.

Some 800 trucks carrying aid have crossed into Gaza during the first days of the pause, officials said, which is a huge increase from the days prior. So far, a total of about 2,000 aid trucks have entered Gaza since Oct. 7, meaning that 40% of them had gone in in just the last four days.

The planes on Tuesday will be carrying medical aid urgently needed in Gaza as well as food, particularly for children, and winter clothing as the rainy season begins, according to officials.

The aid will be delivered by the United Nations to civilians.

Two more planeloads are expected to follow in the coming days, officials said. Previously, there were also five commercial flights of aid coordinated by the U.S. government, according to officials.

The officials emphasized this aid as part of U.S. President Joe Biden’s commitment to helping the Palestinian people, saying that he has made sure America is the largest single donor both to the United Nations Relief and Works Agency for Palestine Refugees in the Near East (UNRWA) and to Palestinian territories.

Going forward, the officials said the goals for humanitarian aid in Gaza will be expanding access, pushing for restoration of essential services, especially water, and keeping civilians out of harms way.

"The president has also consistently stressed the importance of ensuring military operations are conducted in a manner consistent with international humanitarian law, including with respect to the protection of civilians," the senior Biden administration official told reporters.

Officials did not offer any new information on the hostage negotiations between Gaza's militant rulers, Hamas, and Israel but reiterated that they hope to see Americans released in the coming days.

-ABC News' Cheyenne Haslett and Morgan Winsor