Israeli and Egyptian officials refused to confirm the report by the New York Times.
Among other things, the base includes a mosque, two farms and its own solar power plant.
While Sisi’s rule does not appear to be in imminent danger, it is unwise to ignore the real and multiple difficulties confronting Egyptian society.
In June, the court annulled the agreement, saying Egyptian sovereignty over the islands could not be given up.
Though ISIS attacks have largely been focused on its stronghold of Northern Sinai, bordering Israel, Gaza and the Suez Canal, the group has also launched deadly attacks in Cairo.
Cairo targeted the terror organization after Islamist militants killed 12 members of Egypt's military in North Sinai province and wounded six more in an attack on a checkpoint on Friday.
Over the past few months, a number of attacks have occurred against Coptic homes and churches in various provinces of Egypt, from Alexandria in the north to Luxor in the south.
Shoukry sparked an uproar on Sunday by saying, in answer to a question at a meeting he held with Egyptian students, that Israel’s actions against Palestinians did not constitute terrorism.
The French news agency AFP cited legal sources as saying that the men were arrested in an upscale Cairo suburb.
Tensions between Saudi Arabia and Beirut have been brewing since January. Riyadh is worried Hezbollah has too much power in Lebanon.