One criminal investigation is examining the killing of four Palestinian boys on a beach.
Israel’s Army Radio caused a stir when it reported that Egypt’s president had proposed ceding parts of the Sinai Peninsula to a Palestinian state.
Deal is expected to benefit both countries economically and could aid Israel’s ties with other neighbors.
The appropriation of almost 1,000 acres would be the largest in years in the occupied territory.
Israel’s media, public and opposition — as well as his coalition members — say he gave up a lot, achieved little.
The abductions came a day after the armed Syrian group seized control of the crossing along the Israeli border.
The open-ended cease-fire was holding after seven weeks of warfare that killed more than 2,100 people.
An al-Qaeda-linked group helped to seize the Golan Heights post, a gain of more symbolic than strategic value.
Israel agreed to immediately ease restrictions, allow relief aid and building materials to enter Gaza.
Populations on both sides of the conflict appear exhausted, and a permanent truce is elusive.