"Comparing notes is the main aim of such a meeting," the spokesman said.
Peskov added that there were many issues related to strategic stability that the two leaders could address, especially in light of the US recent announcement to pull out from the Intermediate-Range Nuclear Forces Treaty (INF).
Vladimir Putin has received the invitation from his US counterpart Donald Trump to visit Washington, but the details of the possible summit between the two leaders are yet to be negotiated, Peskov said.
"[The invitation] was announced, but it is still to be agreed. Nothing has been negotiated yet," Peskov said, answering the question on whether Putin accepted the invitation.
Earlier, President Donald Trump announced that the United States would withdraw from the INF treaty over the alleged violations of the agreement by Russia.
Kremlin spokesman Dmitry Peskov strongly rejected the US accusations and warned that scrapping the treaty would force Russia to take measures to ensure its security.
The INF treaty was signed between the Soviet Union and the United States in December 1987 and required the parties to destroy their ground-launched ballistic and cruise missiles with ranges of between 500 and 5,500 kilometers (from 311 to 3,317 miles). The United States and Russia have repeatedly accused each other of violating the treaty.