Hamas is demanding an "immediate cessation" to Israel's war, which has hit thousands of Hamas sites, according to the Israeli military. Israel has agreed to temporary humanitarian ceasefires but says it will not halt its fire before ending incessant rocket fire from Gaza and destroying Hamas' network of tunnels that have been used to infiltrate Israel.
* THE BLOCKADE
Breaking the seven-year blockade of Gaza imposed by Israel and Egypt is the main Palestinian demand.
Hamas wants its crossings with Israel and Egypt reopened.
While Israel has indicated a willingness to ease some of the restrictions, its main fear is that Hamas will use the free flow to rearm itself and restock its weaponry.
Israel says construction material that it has allowed into Gaza was used by Hamas not for building schools and homes but rather to construct tunnels.
* THE POWER OUTAGE
Gaza has only enjoyed sporadic power. Israel already supplies Gaza with much of its power needs and though the Palestinians owe Israeli companies hundreds of millions of euro for services, this appears to be the area in which Israel would show the most flexibility.
* FISHING RIGHTS
Hamas is demanding that its sea buffer of three nautical miles be removed and they be allowed to extend its fishing area to 12 nautical miles. Israel is unlikely to agree since it would have a hard time monitoring movement and preventing arms smuggling.
* HAMAS PRISONERS
Hamas is demanding Israel release hundreds of Hamas prisoners it rounded up last month during a search for three missing Israeli teens, whose bodies were found two weeks later. Dozens had been released in an exchange in 2011 for a captive Israeli soldier.
Israel says those released in 2011 and later re-captured violated the terms of their release. It is unlikely Israel will release them.