BEIRUT (AP) — Hamas said Thursday that it was sending a delegation to Egypt for further cease-fire talks, in a new sign of progress in attempts by international mediators to hammer out an agreement between Israel and the militant group to end the war in Gaza.

After months of stop-and-start negotiations, the cease-fire efforts appear to have reached a critical stage, with Egyptian and American mediators reporting signs of compromise in recent days. But chances for the deal remain entangled with the key question of whether Israel will accept an end to the war without reaching its stated goal of...