JERUSALEM — Israel and Hamas once again appear to be inching toward a ceasefire that could wind down the 15-month war in Gaza and bring home dozens of Israelis held hostage there.

The deal would secure release of a third of the approximately 100 hostages who remain in Gaza, including two dual U.S.-Israeli nationals. In return, Israel would release some Palestinian prisoners.

A senior Hamas official has shared with the BBC a list of 34 hostages that the Palestinian group says it is willing to release in the first stage of a potential ceasefire agreement with Israel. It is unclear how many hostages remain alive.