That the talks are even happening represents a historic moment, given the decades of enmity between the two countries since the 1979 Islamic Revolution and the U.S. Embassy hostage crisis.

US and Iranian delegations will gather in Rome Saturday for a second round of high-level talks on Tehran’s nuclear program amid tempered optimism about a diplomatic way forward.

A second round of negotiations between Iran and the United States over Tehran’s rapidly advancing nuclear program ended Saturday after several hours of talks, Iranian state television reported. There was no immediate readout on how the talks went at the Omani Embassy in Rome’s Camilluccia neighborhood.