The telephone conversation was made at the request of Mogherini.
The Iranian foreign minister is now in Switzerland’s Davos to attend the 45th annual meeting of the World Economic Forum (WEF).
Zarif is also scheduled to hold talks with his counterparts from the Group 5+1 (Russia, China, the US, Britain, France and Germany) on the sidelines of the Davos meeting.
Earlier this week, Zarif had said that the forum in Davos provides an opportunity to have “short discussions” on Iran’s civil nuclear program with top diplomats of the Group 5+1, including US Secretary of State John Kerry.
The EU foreign policy chief is tasked with coordinating diplomacy with Iran on behalf of the six countries.
Last week, Iran and the Group 5+1 (also known as the P5+1 or E3+3) wrapped up the latest round of negotiations in Geneva, Switzerland, with the next round slated for early February.
Negotiations between Iran and the Group 5+1 aim to hammer out a final agreement to end more than a decade of impasse over Tehran’s peaceful nuclear program.
Meanwhile, nuclear negotiating teams from Iran and the US are scheduled to hold talks on Friday and Saturday, January 23-24 in the Swiss city of Zurich.