Israeli public radio reported that Foreign Minister Gabi Ashkenazi was headed to Cairo, and that Kamel was travelling to Israel.
Hazem Qassem, a spokesman for Hamas, said the Islamist Palestinian group that controls Gaza "welcomes the decision of the Human Rights Council to form an global investigation committee into Israeli violations in the Palestinian territories".
At least 230 Palestinians were killed, including 65 children and 39 women, with 1,710 people wounded, according to the Gaza Health Ministry.
Before the conflict, the United Nations estimated that approximately 1.57 million people in Gaza, out of a total population of two million, were in need of humanitarian assistance.
Rocket and other fire from Gaza claimed 12 lives in Israel, including one child and a Palestinian teenager, an Israeli soldier, one Indian national and two Thai workers, medics say.
Members of more than 100 Palestinian, Arab, and Muslim groups joined other critics of Israel's recent bombardment of Gaza in Washington, D.C. on Saturday to hold a March for Palestine urging U.S. President Joe Biden and Congress to hold the Israeli government "accountable for its war crimes".
A prisoner swap could be on the horizon, after Hamas spokesman Abdelatif al-Qanou, said Hamas is also open to discussing a prisoner swap with Israel.
The Palestinian foreign minister, meanwhile, accused Israel of instituting "an apartheid system".
International Development Minister Karina Gould said in an interview that "we have to deal with the immediate humanitarian situation on the ground in Gaza today".
Sisi has pledged $500 million to help reconstruction efforts in the densely populated Gaza enclave, which was pummelled by Israeli air strikes.
Palestinians have been politically divided between Hamas and its rival Fatah, but analysts say the latest escalation in the Israeli-Palestinian conflict has served to unite the geographically fragmented Palestinian community in a way not seen in years.
The UN Human Rights Council decided Thursday to create an open-ended global investigation into violations surrounding the latest Gaza violence.
Mohammed Elfarawi speaks to Khalid Sbitan, a human rights worker for Al Mezan Center for Human Rights in the severely damaged room that belonged to his son Adam who was killed when an airstrike targeted the apartment below prior to a cease-fire that halted an 11-day war between Gaza's Hamas rulers and Israel.
It said it would also look at the "underlying root causes of recurrent tensions and instability, including systematic discrimination" in the occupied Palestinian Territories and inside Israel.