Washington (CNN) Russian President Vladimir Putin again invited US President Donald Trump to visit Moscow in the coming year, according to a Kremlin readout of Putin's holiday greetings to foreign leaders posted Monday.

"In a Christmas and New Year greeting message to President of the United States of America Donald Trump, Vladimir Putin noted that Russia and the US were historically responsible for ensuring global security and stability, and that Moscow speaks in favour of normalising bilateral relations and establishing an equal dialogue based on the mutual respect of interests," the statement said. "The President of Russia also reaffirmed his invitation to Donald Trump to visit Moscow to take part in the celebrations of the 75th anniversary of Victory in the Great Patriotic War."

Putin's well wishes and invitation come after the Kremlin on Sunday released a separate readout of a phone call between Trump and Putin in which the two discussed "matters of mutual interest" and reached an agreement to "continue bilateral cooperation in the fight against terrorism."

The Kremlin-provided statement of the call -- initiated by Russia and the first between Putin and Trump since July -- said that "Vladimir Putin thanked Donald Trump for the information shared via the special services that helped prevent terrorist acts in Russia," but did not did not provide additional details about what information the US had provided.

Two Russian nationals, though, were detained Friday based on information provided by the US, according to a statement issued by the Federal Security Service of Russia. They had intended to carry out terrorist attacks in St. Petersburg on the New Year's Eve, the Federal Security Service said.

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