The Israeli Prime Minister says the number two official at the Israeli embassy in Cairo will stay in Egypt despite the attack.
He said the incident was serious and could have been much worse, thanking the US President for his quick intervention.
Other Israeli figures are warning against any further tension in Cairo.
Former Israeli Ambassador to Egypt, Eli Shaked, said: “They understand very well how bad it will be for the Egyptian interest to turn against the United States, against the west and against the peace with Israel.
“It will be bad not only for Egypt and the Egyptian interest, it might be disastrous also for Saudi Arabia and Jordan.”
Cairo’s ties with Israel had been a pillar of Egyptian foreign policy under ousted leader Hosni Mubarak.