Medvedev, playing in his third major final, at last hoisted a Grand Slam trophy while avenging a straight sets defeat by Djokovic earlier this year in the Australian Open final.
One more victory will give the 34-year-old Djokovic the first calendar-year Slam since Rod Laver accomplished it 52 years ago.
The Russian will face either Dusan Lajovic of Serbia or American Frances Tiafoe for a place in the quarterfinals of the prestigious ATP Masters and WTA hardcourt tournament.
Novak Djokovic used superb serving and his usual relentless returning and baseline supremacy to grab 11 of 13 games in one stretch and beat a visibly frustrated Daniil Medvedev 7-5, 6-2, 6-2 on Sunday for a third trophy in a row.
Rafael Nadal's bid for the 12th title crashed after losing to Fabio Fognini in the Monte Carlo Masters semi-finals.
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