Liat Beinin, an Israeli American woman being held hostage in Gaza, was expected to be among the 50 hostages Hamas released over the course of the initial four-day truce, according to the White House. But as of Monday, she remains in captivity.

"Obviously, I’m disappointed but we remain optimistic and hopeful that her release will come in the next two days," Yehuda Beinin, her father, told CNN's Erin Burnett Monday.

Under the extended truce, Hamas will release 10 hostages each day, according to an Israeli senior adviser. That leaves open the possibility that two American women, including Liat Beinin, could be released on Tuesday or Wednesday. 

“We have no choice but to remain — other than to remain hopeful," Yehuda said. He said earlier in the interview that their family is "also concerned about Aviv, Liat Beinin’s husband.” 

“We know that Aviv was wounded on the day of the attack and other than that, we have no knowledge, whatsoever, of Aviv, where he’s being held or who’s holding him, actually,” Yehuda Beinin said. "Obviously this lack of information and lack of definitive news is very concerning."

Beinin said he and his wife suspect other groups in Gaza that Hamas does not fully control may be holding his daughter or her husband. 

“I don’t have specific information regarding who’s holding our daughter or Aviv. It just seems a reasonable conclusion given the course of events up till now," Yehuda said.

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