U.S. Secretary of State John Kerry and Iranian Foreign Minister Mohammad Javad Zarif met at the residence of Iran’s ambassador to the United Nations in New York for the first time since April 2, when world powers and Iran sealed a framework agreement that would limit Iran’s ability to build a nuclear weapon. They now have little more than two months to meet their own June 30 deadline for a comprehensive accord.

Neither man spoke to reporters as the meeting got underway, but earlier Kerry told a U.N. conference on nuclear non-proliferation that a deal would make the world a safer place. “I want you to know the hard work is far from over and some key issues remain unresolved,” he said. “But we are, in fact, closer than ever to the good comprehensive deal that we have been seeking. And if we can get there, the entire world will be safer.”

In Washington, lead U.S. negotiator Wendy Sherman told a conference of reform Jews that diplomatic collapse would leave Iran perilously close to nuclear weapons capacity. Energy Secretary Ernest Moniz said a final agreement would in some ways be tougher than what the U.S. has outlined thus far.