The summit started late because Putin arrived in Helsinki about a half hour behind schedule in another display of the Russian's leader famous lack of punctuality.
Trump had said that he and Putin "spent a great deal of time" discussing allegations that Russian Federation meddled in the election as they met for several hours before the joint press conference.
Throughout their address, Putin and Trump made a series of football puns, with Trump congratulating Putin on Russian Federation holding the World Cup and saying the "ball is in [his] court". He said the leaders would discuss trade, nuclear issues and China.
"I think we have great opportunities..." Frankly, we have not been getting along very well for the last number of years.
But he added: "I think we will have an extraordinary relationship".
"So I have great confidence in my intelligence people, but I will tell you that President Putin was extremely strong and powerful in his denial today", Trump said. USA intelligence officials have said they're confident that the Kremlin was behind the effort to help Trump defeat Clinton, and Mueller's indictment alleged that the culprits are part of a Russian military intelligence agency known as the GRU. "I did it. You got me,"' said Trump, invoking a television detective.
"It's in the interest of both our countries to continue the conversation and I'm sure we'll meet again in the future", he said.
This was after he tweeted earlier that Washington's "foolishness and stupidity" was the reason for bad relations.
Clinton's remark comes after Trump received sweeping criticism for his comments about Putin and the U.S. intelligence assessment of Russian interference in the 2016 election.
Ahead of the summit, the Russian foreign ministry "liked" Trump's Twitter comments, in which the US president denounced the investigation into Russian meddling in American elections as well as previous USA policy.
The remarks came the same day the Justice Department announced the indictment of 12 Russian military intelligence officials for hacking into Democratic Party emails in 2016.
He said Mr Trump "must appreciate that Russian Federation is not our ally", adding: "There is no moral equivalence between the United States and Russian Federation, which remains hostile to our most basic values and ideals".