Bolton said he brought up both the 2016 election and Russian activities in upcoming congressional elections.
As further sources tell CNN, trump also expects that the Russians will establish exclusion zone to prevent hostilities in the South-West of Syria, and will block Iranian-backed forces from the region.
For Putin, the summit will cap off two days in which he will occupy the center of the global stage; the day before he meets Trump, he will preside over the World Cup final in Moscow.
Ahead of the North Korea summit, some United States officials expressed concern about a meeting without any other aides present.
Recall that during the scheduled meeting of presidents in Helsinki next month, trump will raise the question of alleged Russian interference in USA elections.
On June 29, Trump declined to rule out recognizing Russia's 2014 annexation of Ukraine's Crimean Peninsula.
Despite this, he stated that Trump will "want to have a conversation about this and say "we don't want to see meddling in the 2018 election" when he meets with Putin in Helsinki on July 16.
"I'll tell you what President Putin said to me, through the translator of course".
United States allies who want to isolate Putin, such as Britain, or who are concerned about Trump's attitude towards Russian Federation are likely to be irritated by such a summit. "Let them discuss these issues and see exactly where there might be room for progress or where we find there is no room at all". 'I don't think anybody ought to have a case of the vapors over discussions we have in North Atlantic Treaty Organisation or the G-7 versus discussions we have with Putin or Kim Jong Un. We're going to be talking to Russian Federation about a lot of things.
Intelligence agencies believe Russian hackers influenced the 2016 election in favor of Trump and that the Kremlin is trying to have a similar affect on the 2018 contest.
Bolton also was asked about North Korea when he was on "Fox News Sunday" and had an amusing story about his interaction with leader Kim Jong-Un. Cantwell asked. "I'm interested in hearing. if the president is under indictment, what is that nominee going to do about that?"
"We're going to be talking about Ukraine, we're going to be talking about Syria, we'll be talking about elections, and we don't want anybody tampering with elections", Trump said to reporters on Air Force One.
"We're going to talk about Ukraine, we're going to be talking about Syria".
"The agenda of the meeting of Presidents Trump and Putin will be decided during the next two weeks, but they will certainly discuss the overall global situation and hopefully also arms control and disarmament issues", he said in a statement.
Bolton told CBS News a range of issues will be discussed.
On Monday, leading foreign-policy Democrats urged Trump in a letter to hold Putin accountable for Russia's destabilization efforts, including election meddling, support for the Syrian regime and the annexation of Crimea.