Hundreds rallied in Moscow, accusing officials of barring independent candidates from election.
The Kremlin condemned Georgia's main commercial TV channel after the presenter's offensive remarks.
Still no confirmation on a rumoured plan by OPEC and its allies to extend oil production cuts by nine months and oil prices are now falling.
Brent crude is down 0.36% at $64.51 and West Texas Intermediate has fallen to $58.42.
At the weekend, Russian President Vladimir Putin said he had agreed with Saudi Arabia to extend existing output cuts of 1.2 million barrels per day by six to nine months.
Saudi Energy Minister Khalid al-Falih said the deal would most likely be extended by nine months and no deeper reductions were needed.
Confrontations over Russia's actions didn't appear to get in the way of jokes, photo ops and dinner with the host.
Russian President Vladimir Putin has made headlines with an interview during which he said that liberalism had become obsolete.