FACTBOX - Hamas proposes ceasefire in Gaza Strip

(Reuters) - Egypt is trying to mediate a cease-fire between Israel and the Islamist group Hamas to end the fighting in the Gaza Strip.

According to Israeli, Palestinian and Western sources close to the negotiations, here is what each side is demanding:

DURATION OF CEASEFIRE

- Hamas told Egypt it would agree to a year-long cease-fire that could be renewed after that. The cease-fire would be conditional on a full withdrawal of Israeli forces from the Gaza Strip five to seven days after an agreement is reached.

- Israel has responded by demanding an open-ended cease-fire, arguing that the time limits proposed by Hamas will only lead to future flare-ups in fighting.

BORDER CROSSINGS

- Hamas has demanded Israel's immediate opening of all the Gaza Strip's border crossings, with both Israel and Egypt. The Islamist group called for Egypt and the international community to provide guarantees that Israel will keep the crossings open.

- Hamas has baulked at returning control of the crossings to Western-backed Palestinian Authority President Mahmoud Abbas under the terms of a U.S.-brokered agreement in 2005, when Israel pulled out its occupying force from Gaza after 38 years. That agreement gives no role at the crossings to Hamas.

- Hamas has also objected to the return of Abbas's presidential guard to the Rafah border crossing with Egypt.

- Hamas said it was open to Turkish border monitors.

- Israel wants Hamas to accept the return of the Palestinian Authority to Gaza's border crossings. "It's clear that the basis for any movement on the issues of the crossings will be the 2005 agreement and it's clear Israel's partner in the agreement is the Palestinian Authority," a senior Israeli official said.

- Israel is cool to the idea of firm international guarantees or monitoring that could limit its control over the Israeli side of the border crossings with Gaza.

POST-GAZA RECONSTRUCTION

- Hamas wants a reconstruction conference for the Gaza Strip and hopes to play a key role.

- Israel and the United States want Abbas's Palestinian Authority to take the lead in any reconstruction, expected to cost more than $1.4 billion, according to preliminary Palestinian estimates.

(Reporting by Adam Entous; Editing by Jon Boyle)