Speaking from China where Putin was attending a regional security summit, Peskov said that in their last telephone conversation on March 20 the Russian and United States leaders had also mentioned possibly meeting in Vienna.
"Various cities, which can be suitable for a meeting between the two presidents, are often considered".
Nuclear power deals signed by the two leaders in Beijing - the biggest such cooperation agreements between the two countries that were reached after more than two years of negotiation - cover three projects including the Tianwan plant in Jiangsu and the Xudabao facility in Liaoning, state-run China National Nuclear Corporation said in a statement.
Xi and Putin also vowed to make "all possible efforts" to preserve the 2015 global accord on Iran's nuclear programme that Trump abandoned last month. "And before discussions could begin on any of this, we would have to ensure Russian Federation is amending its ways and taking a different route". "That is, nothing has changed in this respect", he said.
A Canadian official said the leaders discussed accelerating the talks.
Iranian President Hassan Rouhani, whose country is an observer member of the SCO, will also attend the summit at a time when China and Russian Federation are seeking to save the Iran nuclear deal following Trump's withdrawal from the pact.
Before the meeting, US President Donald Trump had called for the G7 to re-admit Russian Federation and also sparked fears of a trade war by raising tariffs on European Union steel and aluminium imports.
Russian Federation was removed from the summit in 2014 after its forced annexation of Crimea away from Ukraine.
Before the medal ceremony, Putin said the two heads of state had enjoyed "fruitful" talks.
The Group of Seven comprises seven of the largest advanced economies in the world - Canada, France, Germany, Great Britain, Italy, Japan and the United States.
"We have massive trade deficits with nearly every country, we will straighten that out", Trump said.
President Donald Trump and Japanese Prime Minister Shinzo Abe shakes hands during a news conference in the Rose Garden of the White House in Washington, June 7, 2018.
The summit has already been dubbed the "G6 plus one" due to Mr Trump's isolation over trade and his decision to pull the USA out of the Iran nuclear deal.
Mongolia stands ready to work with China and Russia to implement trilateral cooperation consensus and launch the China-Mongolia-Russia economic corridor construction as early as possible, while promoting cooperation in sectors such as infrastructure and energy transportation, said Battulga.
But Trump is also directly contradicting his own campaign.
"Russia is focussed on other formats, apart from the G7", Kremlin spokesman Dmitry Peskov said in a brief statement reported by the government-controlled Sputnik news agency.
"It used to be the G8 because Russian Federation was there and now Russian Federation is not in it", Trump said.