Israel’s President Isaac Herzog is set to meet with Elon Musk on Monday afternoon, his office said Sunday.

"Against the background of the ongoing war with Hamas, President Isaac Herzog will tomorrow (Monday), meet with businessman Elon Musk, who is visiting Israel," the president's office said in a statement Sunday evening.

"[R]epresentatives of the families of hostages held by Hamas, who will speak about the horrors of the Hamas terror attack on October 7, and of the ongoing pain and uncertainty for those held captive," the statement continued. "In their meeting, the President will emphasize the need to act to combat rising antisemitism online."

The meeting will be closed to the media.

The Tesla boss also owns social media platform X, formerly Twitter.

-ABC News’ Jordana Miller

The family of 4-year-old hostage Abigail Idan has released the first photo of the little girl following her return home from Gaza.

Abigail, an American-Israeli citizen, had been held hostage by Hamas since Oct. 7. She was released on Sunday, two days after her 4th birthday.

Abigail Idan’s aunt, Ella Mor, said in a video Sunday, "She just landed in the hospital and she’s being checked and taken care of."

"I'm so happy that she's here," Mor told ABC News. "The people of Israel are amazing … everybody's so happy like she's their own little girl."

Liz Hirsh Naftali and Noa Naftali, the great aunt and cousin, respectively, of 4-year-old Abigail Idan, issued a statement Sunday following Abigail's release by Hamas.

"We hoped and prayed today would come. There are no words to express our relief and gratitude that Abigail is safe and coming home," they said.

"Thank you to President Biden and his dedicated team; thank you to the Qatari government and other informal actors who are involved in securing Abigail's release and reuniting other hostages with their loved ones," they continued. "Today's release proves that it’s possible. We can get all hostages back home. We have to keep pushing. We will continue to stand with the families of all the hostages still held captive, and we remain committed as ever to securing their safe and swift return."

-ABC News' Desiree Adib and Arielle Schwartz

"The Islamic Resistance Movement Hamas is seeking to extend the truce after the end of the four-day period, by seriously considering increasing the number of released detainees as stated in the humanitarian truce agreement," Hamas said in a statement Sunday.

The AFP news agency reported that a source close to Hamas said the group also informed mediators of its willingness to extend the current truce.

-ABC News' Ayat Al-Tawy

Negotiations to free some of the people who were taken hostage by Hamas during the Oct. 7 attack on Israel are closer than they have ever been before, according to Qatari Ministry of Foreign Affairs spokesperson Majed Al-Ansari.

"Mediation has reached a critical and final stage and has gone past key issues. What remains are limited issues and therefore we are the closest we have come to reaching an agreement since the beginning of this crisis," Al-Ansari said during a press briefing in Doha on Tuesday, adding that "we hope and seek to make this happen soon."

Al-Ansari noted that it is very important to "choose the right time to announce the details" of Qatar's mediation efforts in the latest outbreak of war between Israel and the Gaza Strip's militant rulers, Hamas.

A Hamas leader in Beirut, Osama Hamdan, told ABC News on Tuesday morning that they are "waiting for the Israeli side to accept the deal." However, he added a caveat: "Many times in the past, we were close to a deal and Netanyahu undermined the deal. By the end of the day things will clear and we will see what the results of it."

Hamdan would not expand on details of the deal, including how many hostages would be released, telling ABC News: "No specifics on the numbers but it's around what the media is talking about, which is around 50. But nothing is final."

Meanwhile, there will likely be three separate steps of approval for an agreement to go through on the Israeli side. The Israeli government will announce that a deal has been reached that needs to be voted on. Then, Israel's security cabinet will vote to approve said agreement. Finally, Israeli law requires a 24-hour waiting period during which time the Supreme Court of Israel may need to be involved, to defend the deal from anyone who attempts to contest it.

Sources have told ABC News that a potential deal would involve the release of around 50 hostages, all women and children, in exchange for a five-day cease-fire, the release of dozens of Palestinian women and children from Israeli prison and a large influx of humanitarian aid into Gaza, including fuel. It may take multiple days for hostages to be released because they are not all being held together and some are held by splinter groups, according to sources.

-ABC News' Ayat Al-Tawy, Nasser Atta, Victoria Beaulé, Matt Gutman, Jordana Miller, Kirit Radia and Morgan Winsor