People associated with Hillary Clinton's campaign also met with Russian ambassador Sergey Kislyak, according to Russian President Vladimir Putin's spokesman.

"Well, if you look at some people connected with Hillary Clinton during her campaign, you would probably see that [the Russian ambassador] had lots of meetings of that kind," Dmitry Peskov told CNN's Fareed Zakaria in an interview that aired Sunday.

Peskov said that none of the meetings between campaigns and Kislyak were about the election.

President Trump has faced constant questions about his campaign's communications and connections with Russian officials during and after the election.

Trump's national security adviser was forced to resign less than a month on a job for mischaracterizing his conversations with the ambassador. In early March, Attorney General Jeff Sessions admitted he had meetings with Kislyak that he had not disclosed during his confirmation hearing.

The Trump team has also tried to distance itself from Carter Page, who was a foreign policy adviser to Trump for a brief time during the campaign. Page's contacts with Russia are reportedly being investigated by the FBI.

Peskov told Zakaria that Putin never said he supported then-presidential candidate Trump, but the Russian leader did prefer Trump over Clinton.

"You would probably recall that President Putin, during election campaign, had never answered directly a question about his candidate of his support. He kept saying that we will respect a choice of American people," Peskov said.

"The candidate Hillary Clinton was quite negative about our country in her attitude and in her program, declaring Russia being nearly the main evil in the world and the main threat for the United States."

Trump, however, said he was willing to work with Russia despite disagreements, Peskov said.

"Whom would you like better? The one who says that Russia is evil or the one who says that, 'Yes, we disagree, but let's talk to understand and to try to find some points of agreement?'" he asked.