The report was based on a document obtained by BuzzFeed, which outlined the proposal a top Russian diplomat made directly to the US State Department.
Asked about the report, State Department spokeswoman Heather Nauert would neither confirm nor deny its accuracy. Nauert said in general terms that the US and Russia share the goal of improving diplomatic relations between the countries.
A Russian official confirmed to CNN that the document was authentic.
"We are sorry to hear that documents keep leaking from the (Trump) administration, though it shows that Russia keeps doing its best to normalize relations," the official said.
Earlier Tuesday, Under Secretary of State Tom Shannon met with his Russian counterpart in Finland. The meeting was their third of the year to discuss so-called "irritants" in the relationship. Nauert said the meeting provided an opportunity to "raise questions or concerns," but did not say if the two had resolved anything.
In the coming months, the proposal called for Russia and the US to collaborate on information security, Afghanistan, Iran, Ukraine, North Korea and eventually a full face-to-face meeting between the top national security officials of the two nations.
Relations between the United States and Russia have soured considerably since the opening of the Trump administration, when many expected Trump might bring the nations closer together as he said repeatedly was his goal during the campaign.