"I cordially congratulate you on the state holiday - Russia Day. Please, we will be glad to see everyone here in Moscow", Putin told reporters at a briefing in China's city of Qingdao.
Trump had said Saturday that re-admitting Russian Federation to the elite club would be "an asset", telling reporters, "We're looking for peace in the world".
Trump also reiterated Russia's support in a return to the G7 group, despite a negative reaction from other members of the group of the most developed economies in the world.
Putin urges EU to pay attention to Russian speakers' rights in Baltics
Putin says some nations including Austria have offered to host his summit with Trump.
"It said that the Russian people have achieved successes in the cause of building powerful Russia under his leadership, braving all challenges and difficulties", the KCNA report said.
Canadian Prime Minister Justin Trudeau said he told Trump that readmitting Russian Federation "is not something that we are even remotely looking at at this time".More news: France, Germany making progress on euro zone roadmap - French minister
Armenian President Armen Sarkissian also issued a personal message to President Vladimir Putin on the occasion of Russia Day where he delved deep into the relations between Armenians and Russians throughout history by pointing out the age-old ties of trust and mutual assistance between Russia and Armenia as a fact that he only wanted to improve. "Everyone demonstrated solidarity with London over a certain event in Salisbury but nothing concrete was said again", Putin said.
Speaking during a summit of the Shanghai Cooperation Organization in Qingdao on Sunday, Putin emphasized that the bloc members are anxious about the US move.
He emphasized that the bloc's members, who also include China, four ex-Soviet Central Asian nations, as well as India and Pakistan, are anxious about the USA move. He added that Moscow will continue to honor its obligations under the Iranian nuclear deal.More news: Sterling rises as PM May wins parliament vote on Brexit
Founded in 2001, the Beijing-based bloc was originally conceived as a vehicle for resolving border issues, fighting terrorism and - more implicitly - to counter American influence in Central Asia following its invasion of Afghanistan.
The current President of the United States Donald trump has accused former us President Barack Obama that he allowed Russian Federation to Annex the Crimean Peninsula.More news: Trump signs `comprehensive document' with Kim as summit ends