The participants also "underlined their readiness to positively address this in a joint effort", the chair of a meeting of high-level officials said.
The US is speaking to partners "about the best way to achieve this, including through a series of initial mutual steps", Price said.
Iranian state television quoted Abbas Araghchi, Iran's nuclear negotiator at the virtual meeting, as saying during the meeting that any "return by the U.S. to the nuclear deal does not require any negotiation and the path is quite clear".
Officials from Iran, China, Russia, France, Germany and Britain will meet virtually on April 2 to discuss a possible return of the United States to the 2015 nuclear deal, the European Union said in a statement on Thursday.
The statement continued: "Participants agreed to resume this session of the Joint Commission in Vienna next week, in order to clearly identify sanctions lifting and nuclear implementation measures, including through convening meetings of the relevant expert groups".
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While U.S. officials will be present in Vienna, Iran as yet seems unwilling to engage directly with Washington.
After taking office in January, the Biden administration had initially believed that Tehran would want to discuss reviving the Joint Comprehensive Plan of Action - a 2015 deal which saw Iran impose limits on its nuclear programme in exchange for sanctions relief.
AgenciesTwo diplomatic sources said Britain, France and Germany had already held talks with Iran on Monday.
Ahead of the meeting, US State Department spokesman Ned Price told reporters that Washington was "ready to pursue a return to compliance with our JCPOA commitments consistent with Iran also doing the same".
The body that oversees the implementation of the JCPOA has been under threat since then-US president Donald Trump pulled out in 2018 and Iran began to resume nuclear activities it had scaled back.
Friday's meeting was chaired by the EEAS deputy secretary-general, Enrique Mora. He added that the USA has no logical way out except to return to the nuclear agreement and cancel all forms of sanctions, even after the tenure of the current Iranian government.