International efforts to broker a ceasefire between Israel and Hamas appeared to gain new momentum Thursday as the White House said a visit by a senior envoy with Israeli leaders was “going well” and other mediators reported encouraging signs from the warring parties.

The new signs of progress came ahead of an expected summit this weekend in Paris, where mediators plan to present a new proposal. The U.S., Egypt and Qatar have been struggling for weeks to find a formula that could halt Israel’s devastating offensive in Gaza, but now face an unofficial deadline as the Muslim holy month of Ramadan approaches.

White House Mideast envoy Brett McGurk held talks throughout the day with Israeli leaders and families of Israeli hostages held by Hamas.

Roughly half of the hostages were released during a weeklong cease-fire in November. About 100 hostages remain in captivity, in addition to the bodies of 30 others who were killed on Oct. 7 or died in captivity.

Israel is demanding the release of the remaining hostages as part of any pause, but has vowed to press ahead with the offensive until Hamas’ military and governing capabilities are destroyed. Hamas wants an end to the war, a full withdrawal of troops and the release of thousands of Palestinian prisoners Israel is holding.

Prime Minister Benjamin Netanyahu has dismissed the Hamas demands as “delusional.” But in recent days, Israeli leaders have begun to voice cautious optimism and Hamas has signaled it is softening its demands.

Defense Minister Yoav Gallant, a member of Israel’s three-man War Cabinet, indicated some flexibility.

“We will expand the authority given to our hostage negotiators,” he said.

At the same time, he warned that the Israeli army “is preparing the continuation of intense ground operations.”

Benny Gantz, who sits on the War Cabinet with Gallant and Netanyahu, has said that if there is no hostage deal, Israel will launch a ground offensive into Gaza’s southernmost town, Rafah, during the Muslim holy month of Ramadan, which begins around March 10.

A top Hamas official, meanwhile, voiced hope for “lots of breakthroughs” in the near future.

More than half of Gaza’s population of 2.3 million is crowded into Rafah after fleeing fighting elsewhere in the territory. Israel has said it will evacuate them before attacking. But it is not clear where they would go, with much of the rest of the tiny Mediterranean enclave consumed in combat.

On Thursday the foreign ministers of 26 European countries called for a pause in fighting leading to a longer ceasefire.

Both the Western diplomat and an Egyptian official said they have seen “encouraging” signs from Israel and Hamas.

The Egyptian official said Egypt, Qatar and the U.S. would craft a renewed proposal at the talks in Paris, expected on Friday or Saturday.

He said mediators managed to water down demands of both sides, including the number of Palestinian prisoners Israel would release in return for women and elderly hostages during a preliminary six-week cease-fire. He said “the discussions are encouraging.”

He said another sticking point is whether displaced Palestinians could return to their homes in northern Gaza. He said Israel, which is still battling in areas of the north, was showing flexibility.

He also said both sides agreed to continue indirect negotiations for a permanent cease-fire – something Israeli officials in public have ruled out.

Moussa Abu Marzouk, a senior Hamas official, said the negotiations were focused on “our people.” He called for Palestinians to be allowed to return to their homes in northern Gaza and a “redeployment” of Israeli forces from residential areas.

“If this is achieved, things can move on an excellent and good way,” he said. “Therefore we say there might be lots of breakthroughs in the near future.”

Israeli media said the War Cabinet agreed late Thursday to send a delegation to the Paris talks.

– AP. Edited for style.