JERUSALEM — Hosting an extraordinary meeting on Tuesday of the Russian, American and Israeli national security advisers, Prime Minister Benjamin Netanyahu of Israel pressed for ridding Syria of all foreign forces, in particular Iranians and their proxies across Israel’s northern frontier.

With the eight-year Syrian civil war winding down, Mr. Netanyahu said, “I believe that there is a wider basis for cooperation between the three of us than many believe.”

This meeting, he said, the first of national security advisers from all three countries, provides “a real opportunity” to advance stability in the region, “and particularly in Syria.”

The meeting took place against the backdrop of spiraling tensions between the United States and Iran after Iran’s downing last week of an American surveillance drone and Iran’s threats to exceed the limits on its uranium supply set by the 2015 nuclear deal.