Putin said last month that the proposed summit between him and Trump was not working out for now and was beset by problems.
Trump has said he was open to having a summit with Putin, who U.S. intelligence officials have said directed Russian meddling in the 2016 election to help Trump win.
Speaking to AFP in Lithuania's capital Vilnius, senior Iranian official Massoumeh Ebtekar said Iran hoped European powers, Russian Federation and China would confirm their willingness to uphold the deal "as soon as possible because Iran can not wait forever".
Trump has drawn frequent criticism for his friendly tone toward Russian Federation and Putin.
"We need the president to be able to distinguish between our allies and adversaries, and to treat each accordingly", he said in a statement. Our colleagues once refused to come to Russian Federation due to well-known reasons. "If it doesn't happen, we come out even better!"
Macron, German Chancellor Angela Merkel, British Prime Minister Theresa May and new Italian premier Giuseppe Conte agreed on a common stance on Russian Federation during talks together on the sidelines of the G7 summit, which is taking place in Canada.More news: Trump issues warning to trade partners over retaliatory tariffs
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The leaders of China and Russia Sunday praised the expansion of their regional security bloc at a summit which put on a show of unity contrasting with the acrimonious G7 meeting.
A senior British government source said Russian Federation needs to change its approach before any conversation about it rejoining the G7 can begin.
Since the two presidents' conversation in March, relations between Moscow and the West have worsened, particularly after the poisoning of a former Russian spy in the United Kingdom, which prompted Western countries to expel Russian diplomats. It is a serious issue, this might really hurt the economic interests of many countries, first of all, of course, of the European ones.
Founded in 2001, the SCO also includes the former Central Asian Soviet republics of Kazakhstan, Kyrgyzstan, Tajikistan and Uzbekistan.
Russian President Vladimir Putin also criticised the United States for its withdrawal, claiming the decision could potentially destabilise the situation.
He warned it is "evident" that Mr Trump and the rest of the G7 were at loggerheads over trade, climate change and the Iran nuclear deal.
The 2015 nuclear deal, known as the Joint Comprehensive Plan of Action, lifted that barrier. Iranian President Hassan Rouhani, whose country has observer status at the SCO, attended the summit, making his first foreign trip since the U.S.'s decision.