CAIRO (AP) Three days of negotiations with Hamas over a cease-fire in Gaza and the release of Israeli hostages ended Tuesday without a breakthrough, Egyptian officials said, less than a week before the start of the Muslim holy month of Ramadan, the informal deadline for a deal.

The United States, Qatar and Egypt have spent weeks trying to broker an agreement in which Hamas would release up to 40 hostages in return for a six-week cease-fire, the release of some Palestinian prisoners and an influx of aid to address the humanitarian catastrophe in the isolated territory.

Two Egyptian officials said the latest round of discussions had ended. They said Hamas presented a proposal that mediators would discuss with Israel in the coming days.

Hamas has refused to release all of the estimated 100 hostages it holds, and the remains of around 30 more, unless Israel ends its offensive, withdraws from Gaza and releases a large number of Palestinian prisoners, including senior militants serving life sentences.

U.S. officials have said they are skeptical that Hamas actually wants a deal because the group has balked at a number of what the U.S. and others believe are legitimate requests, including giving the names of hostages to be released.

It is on Hamas to make decisions about whether it is prepared to engage, U.S. Secretary of State Antony Blinken said Tuesday.

We have an opportunity for an immediate cease-fire that can bring hostages home, that can dramatically increase the amount of humanitarian aid getting in to Palestinians who so desperately need it, and can set the conditions for an enduring resolution, Blinken said.