Israel and the US don't want rebuilding homes to become rebuilding Hamas.
Officials have pledged to rebuild the coastal enclave.
In Northern Ireland, he 'failed' 700 times but ultimately secured a deal in 1998 after decades of hatred and violence.
On Thursday he named George Mitchell as a special envoy, and he has already signaled that the US will reengage the region.
Can the Jewish homeland democracy fully include Arabs?
Hamas and Israel have not agreed to terms of a mutual cease-fire agreement, worrying many that the war will soon start up again.
Two key issues are Israel's demand to stop arms smuggling and the Palestinian desire for an end to the economic blockade of Gaza.