Trump said he would discuss ways to bring an end to the Ukraine war with Russian President Vladimir Putin and Ukraine President Volodymyr Zelensky.
Both Moscow and Washington say their citizens have been wrongfully imprisoned and their diplomats harassed increasingly as relations soured.
The Kremlin said that it had "no doubt" that Washington understood its messaging behind Thursday's attack in central Ukraine.
A Kremlin spokesperson said that Putin has "no concrete plans yet" to speak with Trump.
On Friday, the Kremlin said Putin was ready to discuss Ukraine with Trump but that did not mean that he was willing to alter Moscow's demands.
Putin officially congratulated "courageous" Trump while addressing media in Sochi.
Security officials said separately that parcels that exploded at logistics depots in Europe were part of a test run for a Russian plot to trigger explosions on cargo flights to the United States.
Russia cautiously optimistic about Trump; hopes for reduced US aid to Ukraine.
Moscow called US intelligence agency's claims of Russian interference 'malicious slander'.
Israeli-Canadian racing driver Joshua Cartu detained in St. Petersburg for alleged large-scale fraud linked to binary options scheme.