Peskov's statement is the first on the issue since US President Donald Trump on Monday significantly shortened Russia's deadline to reach an agreement on a ceasefire.
Trump then also said that he was not interested in talking more with the Russian President Vladimir Putin.
We have noted President Trump's statement yesterday, says Peskov and adds that the military operation in Ukraine continues.
We are still engaged in the peace process to resolve the conflict around Ukraine and secure our interests.
However, he says that Russia has noted a "slowdown" in the attempts to strengthen ties with the US.
We would like to see more dynamics. We are interested in this. To move forward, we need to get impulses from both sides.