Israel-Gaza updates: Blinken tells Israel onus is on Hamas to accept cease-fire

Right-wing Israeli Ministers Bezalel Smotrich and Itamar Ben Gvir spoke out on social media Saturday, both threatening to leave the government if the deal in its current form is accepted.

"I have now spoken with the Prime Minister and made it clear to him that I will not be part of a government that will agree to the proposed outline and end the war without destroying Hamas and returning all the abductees," Smotrich wrote.

This comes after the Hostage Families group released a statement urging Israel's parliament to embrace the deal.

Egyptian and Israeli officials will hold talks in Cairo on Sunday to discuss the reopening the Rafah border crossing between Gaza and Egypt, an Egyptian security official confirmed to ABC News.

The crossing has been closed since Israeli forces took control of the Gaza side during their offensive toward Rafah in May. Egyptian officials have said they will not reopen the crossing as long as Israel controls the Gaza side.

Egypt has, however, agreed to send aid trucks from its side of the border to be processed from the Israeli border checkpoint of Kerem Shalom.

-ABC News’ Ayat Al-Tawy

Although President Joe Biden on Friday outlined a multi-phase cease-fire proposal he said came from Israel, the Israeli Prime Minister’s Office said in a statement Saturday that "Israel's conditions for ending the war have not changed: the destruction of Hamas's military and governing capabilities, the freeing of all hostages and ensuring that Gaza no longer poses a threat to Israel."

"Under the proposal, Israel will continue to insist these conditions are met before a permanent cease-fire is put in place," the statement said. "The notion that Israel will agree to a permanent cease-fire before these conditions are fulfilled is a non-starter."

Biden said Friday that Israelis should feel comfortable with a cease-fire because Hamas’s capabilities have deteriorated and can no longer repeat the Oct. 7 terrorist attacks.

Hamas in a statement reiterated its requirements for a deal. Hamas said it "affirms its position of readiness to deal positively and constructively with any proposal based on a permanent cease-fire, complete withdrawal from the Gaza Strip, reconstruction, the return of the displaced to all their places of residence, and the completion of a serious prisoner exchange deal."

The four leaders of the House of Representatives and Senate formally invited Israeli Prime Minister Benjamin Netanyahu to deliver a joint address to Congress.

The letter sent on Friday by House Speaker Mike Johnson, Senate Majority Leader Chuck Schumer, House Minority Leader Hakeem Jeffries and Senate Minority Leader Mitch McConnell did not provide a date with the address.

The congressional leaders asked Netanyahu to "share the Israeli government’s vision for defending democracy, combatting terror, and establishing a just and lasting peace in the region."

"The existential challenges we face, including the growing partnership between Iran, Russia, and China, threaten the security, peace, and prosperity of our countries and of free people around the world," the letter read.

Netanyahu last addressed Congress in 2015.

-ABC News' John Parkinson