BBC article reporting that on Sunday evening, Hamas put out a statement saying it had "received through the mediators some ideas from the American side aimed at reaching a ceasefire agreement" and that it welcomed the initiative.
"The movement is in constant contact with the intermediaries to develop these ideas into a comprehensive agreement that meets the needs of our people," it added.
Earlier in the day, US President Donald Trump had written on Truth Social: "Everyone wants the Hostages HOME. Everyone wants this War to end! The Israelis have accepted my Terms. It is time for Hamas to accept as well."
"I have warned Hamas about the consequences of not accepting. This is my last warning, there will not be another one!"
A senior Palestinian official familiar with the ceasefire efforts told the BBC that under the US proposal, all of the hostages would be released within the first 48 hours of a 60-day truce in exchange for Palestinian prisoners in Israeli jails, including those serving life sentences and other lengthy terms, and detainees from Gaza.
During the first two weeks of the truce, the negotiations would cover key issues, including Hamas's disarmament, the formation of an independent governing body or administrative committee in Gaza, and arrangements for Israeli troop withdrawals, the official said. Humanitarian aid would also flow openly into Gaza.
The framework appeared to be aimed at creating a pathway to a broader settlement while addressing immediate humanitarian and security concerns.
Israeli media quoted political sources as saying that Israel was "seriously considering" the US plan, but also that Hamas was likely to have difficulty accepting it.
On Monday, Israeli Foreign Minister Gideon Saar told a news conference in Budapest: "President Trump said it clearly yesterday, Israel said yes to his proposal. We are ready to accept a full deal that would end the war based on the cabinet's decision.
"Two things must happen. One, the return of our hostages… [Two], Hamas must lay down its arms."
www.bbc.com/news/articles/cn0rxl7jwwpo