A Rafah border crossing official said 632 foreign passport holders crossed from Gaza into Egypt on Thursday.

Twelve wounded Palestinians and 10 of their family members also crossed into Egypt on Thursday, the official said.

Several Congressional progressives continued calls for a cease-fire in Gaza while pushing back against a four-hour humanitarian pause.

"What we need is to stop the bombing," Rep. Cori Bush, D-Mo., said outside of the U.S. Capitol on Thursday during a press conference while joined by anti-war veterans in support of a cease-fire.

The event comes after National Security Council spokesperson John Kirby announced Thursday that Israel will start to implement four-hour pauses in fighting in areas of northern Gaza each day.

"Four hours? We don't want four hours. We don't want 16 hours. We don't want 22. We want a cease-fire now," Bush said.

Rep. Summer Lee, D-Pa., said a humanitarian pause does not account for the 2 million people stuck in Gaza.

"Any pause that doesn't take into account that this is still a collective punishment once the four hours has ended is not sufficient," Lee said.

-ABC News' John Parkinson and Lauren Peller

Israel will start to implement four-hour pauses in fighting in areas of northern Gaza each day, National Security Council spokesperson John Kirby announced Thursday.

"We've been told by the Israelis that there will be no military operations in these areas over the duration of the pause, and that this process is starting today," Kirby said.

Israel Defense Forces spokesman Richard Hecht said the pauses are already being held. Kirby said the pauses will be announced three hours ahead of time.

Kirby said these pauses are a "step in the right direction" and "significant first steps" to help civilians reach safer areas, away from the fighting.

"A four-hour pause for instance will allow, potentially, to move humanitarian assistance into that localized area, over that span of time. It could also provide enough of a window to help people get out of harm's way," Kirby said. "It could also provide brief windows of opportunity for safe passage for those hostages from where they're being held, to safer ground."

He said the Israelis have also agreed to a second humanitarian corridor that will allow people to leave hostile areas of northern Gaza.

"The second route along the coastal road will enable many more thousands to reach safer areas in the south," Kirby said. "Of course, we remain concerned that Hamas will discourage or prevent civilians from fleeing. At the same time, when encouraging people to leave areas of active operations, it's critical, absolutely vital, that humanitarian supplies and assistance are expanded in the areas where people are moving, in this case, southern Gaza."

Hecht, the IDF spokesman, stressed that it will only be "tactical, local pauses for humanitarian aid of a limited time and area," and the evacuation corridors would be for people to move south for humanitarian aid.

-ABC News' Justin Ryan Gomez

President Joe Biden confirmed that he has pressed Israeli Prime Minister Benjamin Netanyahu for a three-day pause in Gaza. Biden said he's also asked for an even bigger window to get the remaining hostages out.

Biden told reporters his message to the families of hostages is: "We're not going to stop until we get them out."

Israeli officials say Hamas had 239 hostages in Gaza. Four hostages were released from Gaza over the last few weeks: two American women and two Israeli women. The Israel Defense Forces said a fifth hostage, a female Israeli soldier, was rescued during the Israeli military's ground operations in Gaza.

Asked if there would be a cease-fire, Biden responded, "None. No possibility."

-ABC News' Justin Ryan Gomez and Tia Humphries

Secretary of State Antony Blinken traveled to Iraq to meet with Iraqi Prime Minister Mohammed Shia al-Sudani on Sunday following the secretary's visits to Israel, Jordan and the West Bank.

Blinken told reporters that his meeting with the Iraqi prime minister was productive and said he emphasized the need to prevent spillover from the conflict in Gaza.

"I made very clear that the attacks, the threats coming from militia that are aligned with Iran are totally unacceptable," Blinken said. "We're not looking for conflict with Iran. We've made that very clear. But we'll do what's necessary to protect our personnel."

"We're working very hard to make sure that the conflict in Gaza does not escalate, does not spread to other places, whether it's here, whether it's elsewhere in the region," he said.

Blinken was asked about Arab leaders' instance that nothing short of a total cease-fire would be acceptable.

"I think everyone would welcome humanitarian pauses -- there's no doubt about that," Blinken responded.

He said pauses "advance things that we're all trying to accomplish," including getting more humanitarian aid into Gaza, getting people out of Gaza and getting hostages home.

On his meeting with Palestinian Authority President Mahmoud Abbas, Blinken said the PA was "playing a very important role right now in the West Bank in trying to keep stability there."

-ABC News' Shannon Crawford