Trump was greeted at the palace by Finland's president.
Ahead of the summit, Russian media did have rather modest expectations of how much Putin could concretely achieve. When asked about who he sees as the U.S.'s biggest foe, he said that the USA has "a lot of foes". Trump tweeted hours before the meeting.
Russia's new ambassador to Finland Pavel Kuznetsov, left, escorts Russian President Vladimir Putin as he disembarks the plane at Helsinki airport in Vantaa, Finland.
This summit will be the third time that both the leaders would meet face-to-face.
Newspaper Komsomolskaya Pravda dismissed the US investigation into Trump's "mythical work for the Kremlin", and praised Trump for meeting Putin "despite opposition from his own elite and the hysterics of the media".
The Russian President's plane landed more than half an hour late for the hotly anticipated meeting in the Finnish capital, continuing a notorious tradition of keeping world leaders waiting.
During a joint press conference with UK Prime Minister Theresa May last week revealed some of the topics that could be brought up today.
Observers have raised concerns about the fact that the leaders will be alone during their first meeting, but for a pair of interpreters, meaning there will be no corroborating witnesses to accurately represent what was said during the conversation. Relations between the press and government officials in both the US and Russian Federation have been problematic throughout the years. But he would welcome a symbolic end to Western protests over Crimea and Moscow's attempts to destabilize elections and traditional Western alliances and norms.
Trump had arrived in Helsinki the night before.
He added: "You wouldn't think of the European Union, but they're a foe".
Last week, the president participated in a contentious North Atlantic Treaty Organisation summit in Brussels where he demanded that the alliance's members up their financial stake.
"NATO is now strong & rich!"
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The band said: "We all felt that, after some 35 years, it could be fun to join forces again and go into the recording studio". Exactly ten years later down to the week, " Here We Go Again " is gaining the same positive attention it got a decade ago.
Trump's morning remarks, however, were different.
Before he arrived, Trump denounced the USA news media as the "enemy of the people", despite constitutional protections for freedom of the press.
Russian Federation earned some moderate criticism from the president Sunday, however. "I just feel like the president's comments made us look like a nation, more like a pushover".
Trump did not respond; Putin appeared to smirk.
Putin suggested special prosecutor Robert Mueller, the former Federal Bureau of Investigation director who is looking into interference in the November 2016 vote, send Moscow a request to interview the Russians he suspects of meddling.
"Frankly, we have not been getting along for the last number of years". You know the Russians take the position - you can like it or not like it - that their Constitution forbids them to extradite Russian citizens'.
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"I guarantee whoever is in Russian Federation, they're saying, 'Oh, gee, do we wish that Trump was not the victor in that election, ' " Trump said last week.
The Helsinki meeting comes less than a week after the Justice Department announced the indictments of 12 Russian military intelligence officials for allegedly engaging in a "sustained effort" to hack Democrats' emails and computer networks during the 2016 election campaign.
"I don't see any reason why it would be" Russia, Trump said. Those agents broke into Democratic Party email servers, stole tens of thousands of messages, and leaked them on Russian-controlled web sites. Russia's constitution also prohibits turning over citizens to foreign governments.
Israel is deeply concerned about Iran's presence in Syria, where Iranian forces and proxies have been fighting on behalf of the Syrian government, which is also supported by Russian Federation.
Putin added that other issues that Russian Federation would like to discuss in the arms control sphere are the USA missile defense plans and the weaponization of space. They may underline the importance of continuing the discussions, setting the stage for discussions on expert level.
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Brennan, who ran the Central Intelligence Agency under President Obama, called Mr. Trump's comments at the press conference "nothing short of treasonous".