"Egypt is going to great lengths to reach a ceasefire between the Israelis and Palestinians - and hope still exists that a collective action could end the conflict," he said in an Al Arabiya interview.
"It is increasingly important to calm the spirits and end the violence and the killing," the Egyptian president added.
Over the weekend, Israeli and Arab media reported that Egypt had worked to negotiate a 12-hour ceasefire between the parties. Israel had objected to the deal's terms.
According to Al Arabiya, Egypt was preparing to send two security delegations to Tel Aviv and to Gaza, in another attempt to promote calm between Israel and Hamas. Reuters contributed to this report.