Israeli newspaper Maariv reported that the two sides met in secret because of the angry public opinions of Egyptian people toward Israel.
Thousands of Egyptians protested against Tel Aviv outside the Israeli Embassy in Cairo over the killing of five Egyptian policemen in an Israel attack near the border last month.
Cairo had decided to recall its envoy from Tel Aviv to protest the incident. During the secret session, Tantawi intervened and withdrew the decision to recall the Egyptian ambassador from Israel, according to the report. The paper said Tantawi ended the crisis in the last moments.
The two sides also discussed border security and anti-terrorism operations, the report added.
Egypt's revolution in February has put in danger the relations between Cairo and Tel Aviv.