"A crisis cell ... is closely monitoring the situation and submitting reports to President Abdel Fattah al-Sisi hour by hour," Al-Qahera News said late Saturday, citing a senior security official.
The Egyptian foregn ministry said it was "deeply concerned" by the events, and called for "maximum restraint" by all sides.
Warning of the risk of a "regional expansion of the conflict," the ministry said in a statement that it was "in direct contact with all the parties to the conflict to try to contain the situation".
Since the start of the Israel-Hamas war in October, Cairo has sought to walk a delicate tightrope between showing solidarity with the Palestinians while also maintaining its ties with Israel, reports BSS.
It has also hosted several rounds of negotiations seeking to agree a truce in the six-month war.