China's reaction to the Ukraine war differs from the strong retaliation from the US and the West.
Medvedev, who was formerly Russia's president and prime minister, is now the deputy chairman of Russia's Security Council.
First lady Jill Biden receives flowers from Olena Zelenskyy, spouse of Ukrainian President Volodymyr Zelenskyy, earlier this year.
Putin conceded in September, however, that China had concerns about the Ukraine war, telling Xi: "We understand your questions and concerns in this regard."
The White House said the US president, Joe Biden, invited Zelenskyy "to underscore the United States' enduring commitment to Ukraine."