Two sets of talks are going on—one in Cairo, one in New York—that might restart a cease-fire in Gaza and lead to the release of more Israeli hostages held by Hamas. For several days now, CIA Director William Burns has been meeting with his Mossad counterpart and the prime minister of Qatar about a renewed hostage deal. Qatari officials have, in turn, held talks in Cairo with Egyptian officials and some leaders of Hamas. Reports are swirling about a possible deal for a one-week truce, during which time 40 more hostages would be freed and more corridors would be opened...