Trump hints at 'action' if Hamas doesn't return hostage bodies

Two coffins carrying hostage remains have been turned over to Israel Defense Forces custody in Gaza, the Israeli prime minister’s office said in a release.

Once they’re back in Israel, they will be taken for identification at the Israeli Ministry of Health’s National Center for Forensic Medicine, according to the prime minister's office.

Hamas turned over the coffins to the Red Cross at a meeting point in Gaza. The Red Cross then transferred the coffins to the IDF.

-ABC News' Jordana Miller

No American troops will be sent into Gaza, Vice President JD Vance reiterated on Tuesday. There are currently 200 American soldiers on the ground in Israel to monitor the ceasefire.

Vance spoke at what will be the new hub for the delivery of everything going into Gaza from Israel.

“We’ve made incredible strides in the last week,” he said.

The vice president cautioned that further such strides will be needed as negotiators continue to work out the details of the agreement.

No reconstruction funds for Gaza will go into areas that Hamas still controls and considerations will be made in areas that the Israel Defense Forces control, Jared Kushner said during a press conference in Israel on Tuesday.

Kushner told reporters that there have been "very good meetings with the Israelis," saying both sides are moving to a peaceful posture and ending the fighting.

"There's been surprisingly strong coordination between the United Nations and Israel," Kushner said. "I do believe a great outcome is possible."

Vice President JD Vance on Tuesday told reporters he is hopeful that the ceasefire agreement between Israel and Hamas will hold.

"What we've seen in the past weeks gives me great optimism that the deal is gonna hold," Vance said during his trip to Israel. "Everybody should be proud of where we are today."

Vance reiterated that it will take time to work out the details of how Hamas will disarm as part of the agreement.

He also waved off concerns about the delay in Hamas returning the remains of deceased hostages. Vance said some hostages are under rubble while the whereabouts of others is currently unknown.

Speaking about American or international troops on the ground, Vance said, "we're not gonna force anything on our Israeli friends when it comes to foreign troops."