Mr Putin offered to host the next summit after his United States counterpart Donald Trump suggested Russian Federation should have been at the Quebec gathering which came to an acrimonious end last night.
"We share and agree with the United Kingdom's assessment that it is highly likely that the Russian Federation was responsible for the attack, and that there is no plausible alternative explanation", the G7 statement said.
"The understanding that a third world war could be the end of civilization should restrain us from taking extreme steps on the worldwide arena that are highly unsafe for modern civilization", he said, according to a report by Haaretz.
"I just don't see anything wrong with the American president suggesting that the G7 go back and have another discussion with Russia", Kudlow said on CNN's "State of the Union". "I believe that the ball is in America's court".
The Russia-China relations are at their best level in history and have set a good example for state-to-state relations in the present world, which has played an important role in safeguarding global peace, security and stability, Putin said.
Russian Federation was booted from the conference of the world's leading economies after it invaded Ukraine and annexed Crimea in 2014.
"It wasn't us who left", Putin said. "It's time to stop that chatter and deal with real issues". They include China, Russia along with four ex-Soviet Central Asian nations, as well as India and Pakistan.
Now in the wake of the US withdrawal from the pact, "SCO members may use granting full membership to Iran as a way to demonstrate support for (Tehran) and the nuclear agreement", said Dawn Murphy, professor of global security studies at the US Air War College.
Russia's President Vladimir Putin and Iranian President Hassan Rouhani met Saturday to discuss regional issues including both countries' involvement in the Syrian civil war and the USA withdrawal from a landmark nuclear deal with Iran.
"I think it would be good for all of the countries of the current G7".
After the USA withdrawal, Iran wants assurances from the remaining parties that its interests are guaranteed or it will resume nuclear activities with a higher speed.
U.S. President Donald Trump withdrew the United States from the agreement last month, calling it deeply flawed, and European states have since been scrambling to ensure Iran gets enough economic benefits to persuade it to stay in the deal.