Washington and Moscow are also at odds over Ukraine and allegations of Russian interference in the 2016 USA presidential election, something Russia denies.
Ushakov said the Kremlin was satisfied with the talks with Bolton, describing them as "constructive and businesslike". According to the Russian Foreign Ministry, the parties discussed Syria, Ukraine and Russia-US relations.
Mr Putin insisted Moscow had never sought confrontation and that, in his view, the poor state of relations was a result of fierce political confrontation inside the U.S. itself.
Trump has repeatedly stated that he wants to improve relations with Moscow, and recently he advocated for Russian Federation to be readmitted into the Group of Seven, which brings together the world's most advanced economies.
Officials from both nations said on Wednesday that the US and Russian Federation agreed to plans for the summit between Trump and Putin, though the details on when and where it will take place are likely to be released publicly on Thursday. The presser was broadcast from the headquarters of the Russian state media outlet Interfax, instead of from the USA embassy in Moscow.
"Russia has never sought confrontation, and I hope that we can talk today about what can be done by both sides to restore full-format relations on the basis of equality and respect". I think we'll be talking about Ukraine.
Others, including former administration officials, told me that the Russian Federation meetings are a bad idea in light of the ongoing Robert Mueller probe on Russia's interference campaign in the 2016 election.
"You yourself said a national security policy based on faith that regimes like Russian Federation will honor their commitments is doomed to failure", the reporter replied.
During their meeting, Putin told Bolton that their conversation "instills hope" for a more prosperous U.S. -Russia relationship, adding that he regrets the two nations' relationship is "not in the best shape". Trump denies wrongdoing and calls the investigation a "witch hunt".
Trump first brought up his proposal during the annual G7 summit in Canada earlier this month, also reportedly suggesting Crimea was part of Russia because the people there spoke Russian.
"The president will receive Bolton in the Kremlin", Peskov told reporters.