He made the remarks here on Saturday in a joint press conference with his visiting Italian counterpart Paolo Gentiloni.
Zarif referred to the content of nuclear talks with the 5+1 during the past week as 'precise' and said there was good progress in talks last week.
Foreign Minister hoped similar progress would be made in issues discussed in the talks as well, especially the anti-Iran sanctions.
Zarif said his operational program to achieve an agreement focused on the progress made during the talks which would in turn lead to drafting and signing of a comprehensive and precise agreement.
The Italian foreign minister arrived in Tehran on Friday evening on his first visit of Iran at the top of a high ranking delegation for a two-day stay upon the invitation of Zarif.
On the other hand, senior diplomats from the six world powers (US, Russia, China, Britain, France and Germany) and Iran will resume talks on a nuclear agreement in Montreux, Switzerland on Tuesday, a spokeswoman for the European Commission said in Brussels on Friday.
The negotiations will be held on the level of political directors of the E3 plus 3 and Iran, she announced.