Though Trump and Putin often speak warmly of each other, their countries are increasingly at odds when it comes to issues like foreign policy and meddling in the 2016 US election.
According to Bolton, when he met with the Russian president, the latter had pledged that Russia never meddled with the USA presidential elections.
Although U.S. intelligence officials have stated unequivocally that Russian agents sought to influence the 2016 presidential election, Trump has continued to cast doubt on those conclusions. Kremlin officials also said the allegations are an attempt by U.S. politicians to distract from domestic problems and an effort by the USA media to demonize Russian Federation.
"I think the president will want to have a conversation about this and say we don't want to see meddling in the 2018 election", Bolton said.
Peskov also said Putin was ready to move towards normalizing ties with the United States in proportion to U.S. willingness to do the same. "We're going to be talking to them about Syria".
Trump was noncommittal when asked if he might lift sanctions imposed on Russian Federation, telling reporters: "We'll see what Russian Federation does. We just elected Trump, that's all", a presenter on Russian Federation 24 joked.
Trump tells North Dakota: Unseat 'liberal Democrat' Heitkamp
Trump also warned that if ICE were eliminated, the country would be "overrun with the worst criminal elements you have ever seen". They do it to us, we do it to them ... "The era of global freeloading and taking advantage of the United States is over".
Also, asked if he would recognize Crimea, which rejoined Russia in the spring of 2014 after referendum, as Russia, Trump told reporters "we're going to have to see".
Om Thursday, the Kremlin press service said the Putin-Trump summit would be held in Helsinki on July 16.
A live studio audience for the panel began laughing and clapping following the analyst's joke about Russian Federation electing Mr Trump to the White House.
"They could agree on a joint statement outlining further steps from both sides to improve bilateral relations and joint action in the worldwide arena to ensure global stability and security", he said.
The upcoming Helsinki summit has been criticized by members of the opposing Democratic Party who described it as a gift to the Kremlin and expressed concerns over what else Trump might give away.
Other topics on the table are Ukraine, Syria, Crimea and issues involving former President Barack Obama.
Asked about lifting of sanctions on Russia, Mr Trump appeared to be non-committal. "We've seen how the North Koreans have behaved before.We're going to pursue this, and we'll see what happens".