TEL AVIV, Israel — A Hamas delegation was in Cairo on Saturday as Egyptian state media reported “noticeable progress” in cease-fire talks for Gaza. But Israel hasn’t sent a delegation and a senior Israeli official downplayed prospects for a full end to the war while emphasizing the commitment to invading Rafah.

Pressure has mounted to reach a deal halting the nearly 7-month-long war. A top U.N. official says there is now a “ full-blown famine” in northern Gaza, while the United States has repeatedly warned close ally Israel about its planned offensive into Rafah, the southernmost city on the border with Egypt, where more than 1 million Palestinians are sheltering.