US President Joe Biden will launch a renewed push on Wednesday to end the Gaza fighting and free hostages after Israel and Hezbollah began a truce in Lebanon, the president's national security adviser said.

Jake Sullivan said Hamas is facing increasing pressure to strike a deal now that the Iranian-backed Hezbollah movement in Lebanon has stopped fighting in solidarity with the Palestinian militant group.

Sullivan said Biden spoke with Israeli Prime Minister Benjamin Netanyahu before the announcement of the U.S.-French brokered truce with Hezbollah on Tuesday and agreed to try again for an elusive truce in Gaza.

“President Biden intends to begin this work today by engaging his envoys with Turkey, Qatar, Egypt and other actors in the region,” Sullivan told MSNBC.

"We believe this is the beginning of an opportunity for a more stable Middle East where Israel's security is assured and the interests of the United States are secured," he added.

The Israel-Hezbollah deal was a rare boost for Biden as he prepares to leave the White House and hand over power to Donald Trump on Jan. 20. Biden said on Channel 10 on Wednesday that “the United States will make another effort in the coming days” to reach an agreement on Gaza, echoing comments he made in his announcement on Tuesday.

The outgoing US leader said the goal was to “achieve a ceasefire in Gaza, release the hostages and end the war without Hamas in power.” Biden said Tuesday that Washington would also push for a long-explored deal to normalize relations between Israel and Saudi Arabia. “Peace is possible. And as long as it is, I will not stop working to achieve it,” Biden said in his White House speech.

In turn, US envoy Amos Hochstein, who was closely involved in negotiating the Israel-Hezbollah deal, said it created an opportunity for a similar deal in Gaza. “We firmly believe that the Lebanon deal now opens that door,” Hochstein said in a briefing with the American Jewish community on Wednesday.

He added that after the truce with Hezbollah, Israel is now fighting a "war on one front."

Meanwhile, the New York Times quoted Western officials as saying that Israel does not seem interested in making concessions, and that it remains skeptical of American and Arab ideas for managing Gaza after the war.

The New York Times quoted Western officials as confirming that Israeli Prime Minister Benjamin Netanyahu is waiting for Trump to take office before changing his position on talks with Hamas, and that the movement seeks to remain in power after concluding a ceasefire agreement.

For his part, Israeli Prime Minister Benjamin Netanyahu said that after the assassination of (Hamas political bureau chief) Yahya Sinwar and the separation of fronts between Gaza and Lebanon, the terms of the exchange deal changed in Israel's favor.

He accused Hamas of being the one who was sabotaging the deal, noting that there was now an opportunity for an exchange, stressing that he might agree to a ceasefire in the Gaza Strip but not an end to the war.

Israeli National Security Minister Itamar Ben-Gvir said that Israel has a historic opportunity to eliminate Hamas, restore deterrence and reoccupy the Gaza Strip.