Egypt has called on Israel and the Palestinians to halt fire and resume ceasefire talks.
Violence continued unabated with Israeli air strikes in the Gaza Strip and Hamas militants firing rockets at the Jewish state.
A senior Egyptian diplomat said Palestinian president Mahmoud Abbas had informed Sisi that Hamas was prepared to come to Cairo for further talks, but Hamas has not immediately confirmed the report.
Gaza health officials said five people, including two children, were killed in an Israeli strike on a house in central Gaza.
Four more Palestinians were killed in other strikes.
The Israeli military said Gaza militants had fired more than 40 rockets at Israel and no Israeli casualties were reported.
A number of immediate steps have been agreed, while more complex issues will be addressed in further talks set to begin within a month.
After the success of the Ice Bucket Challenge, the people of Gaza are using rubble and dirt instead of cold water to highlight their plight.