Some analysts says that Hamas's ability to enforce the Egyptian-brokered truce with Israel could widen international acceptance of the militant Islamist organization.
The agreement may mark a break with a longstanding Israeli and American boycott of the Islamic militant organization, giving Hamas incentive to enforce the deal.
In Israel, the media focused on possible breakthroughs in which the US played no role, highlighting low expectations for Rice's trip.
The Islamist militant group has controlled the coastal strip for a year now and says it will not relent to international pressure.
Three Fulbright scholars are waiting to see if Israel will allow them to leave Gaza to study in the United States.
Once a militant bastion, the West Bank city is now open to visits from Israeli Arabs. The move could help bolster the peace process and provide a much-needed economic boost.
If the aim of the peace process is to resolve the conflict properly, then only this approach tackles the root of the problem.
Mobile phone service in Gaza Strip and the West Bank could spur investment – and bolster prospects for peace.