Qatar and Egypt have received a response from Hamas and the Palestinian factions regarding the truce proposal, the Qatari Foreign Ministry said Tuesday.

Hamas and Islamic Jihad said in a statement, "The response prioritizes the interest of our Palestinian people. The need to completely stop the ongoing aggression against Gaza. The Palestinian delegation expressed its readiness to deal positively to reach an agreement to end this war against our people, based on a sense of national responsibility."

A U.S. official familiar with negotiations describes Hamas’ response as not an outright yes or no, but a counter with questions about provisions included in the proposal and some additional demands.

Another official said that while the U.S. is still analyzing Hamas’ response, mediators see the potential to bridge remaining gaps at this point and will coordinate with all parties involved on the next steps -- which will likely include another round of talks.

Israel received the Hamas response from the mediators Tuesday evening, according to a senior Israeli official. In its response, Hamas rejected the outline of the deal for the release of the abductees presented by President Joe Biden, the official said.

-ABC News' Shannon Crawford and Dana Savir

All four hostages rescued from Gaza this weekend have been discharged from hospitals, local officials told ABC News.

The three male hostages -- Almog Meir Jan, 22; Andrei Kozlov,27; and Shlomi Ziv, 41 -- were discharged from Sheba Medical Center on Tuesday, according to the medical center.

Noa Argamani, 26, was transferred to Ichilov Medical Center on Saturday to be with her mother, who is in the hospital, officials said. Argamani was discharged on Tuesday morning, a hospital spokeswoman told ABC News.

-ABC News Jordana Miller and Dana Savir

The U.S. announced $404 million in aid for Palestinian civilians in Gaza and the region, bringing the total amount of aid from the U.S. to over $674 million since the wore broke out, the State Department announced Tuesday.

"This new funding will provide essential support to vulnerable Palestinians in Gaza, the West Bank and the region, including food, safe drinking water, health care, protection, education, shelter, and psychosocial support," the State Department said. "We urge other donors to contribute to the humanitarian response in Gaza and the region, increase support to those affected by the conflict, and work together to find lasting solutions to the crisis."

United Nation human rights officials said they were "profoundly shocked" by the Israeli operation that freed four hostages in central Gaza over the weekend, adding that actions by both Israel and Hamas "may amount to war crimes."

"The manner in which the raid was conducted in such a densely populated area seriously calls into question whether the principles of distinction, proportionality and precaution -- as set out under the laws of war -- were respected by the Israeli forces," the U.N. Office of the High Commissioner of Human Rights, or OHCHR, said in a statement on Tuesday.

The rescue operation in a refugee camp in Nuseirat killed as many as 274 people, the Hamas-run Gaza Health Ministry said Monday. Hundreds of others were injured, the ministry said. Many of those injured and killed were Palestinian civilians, OHCHR said on Tuesday.

But OHCHR also said it was "deeply distressed" about the way the militant groups continue to hold hostages, "most of them civilians, which is prohibited by international law."

By holding those hostages in densely populated areas, Hamas militants are putting civilians and the hostages at risk, the agency said.

"All these actions, by both parties, may amount to war crimes," OHCHR said.

-ABC News' Joe Simonetti and Kevin Shalvey

President Joe Biden issued a statement Sunday commemorating the Muslim holy day of Eid al-Adha in which he acknowledged the pain and suffering of innocent civilians in Gaza.

"In Gaza, innocent civilians are suffering the horrors of the war between Hamas and Israel.," Biden said. "Too many innocent people have been killed, including thousands of children. Families have fled their homes and seen their communities destroyed. Their pain is immense."

Biden added that his administration is working to end the war and make progress toward a two-state solution.

"And I strongly believe that the three-phase ceasefire proposal Israel has made to Hamas and that the U.N. Security Council has endorsed is the best way to end the violence in Gaza and ultimately end the war," Biden said.

Biden also cited the conflict in Sudan as well as the targeting of Muslim communities in Burma and China.

He used the holiday to celebrate the contributions of the Muslim community in America and also to say that he is committed to fighting Islamophobia in the United States.

"Hate has no place in America, whether it is targeted at American Muslims, Arab Americans including Palestinians, or anyone else," Biden said.

He added, "In the spirit of Eid al-Adha, let us all renew our commitment to values that unite us -- compassion, empathy, and mutual respect -- which are both American and Islamic."

ABC News' Michelle Stoddart