Highly-rated teenager shows plenty of spark to clinch Chennai Open, could potentially go on to emulate former winners in bigger events in the near future
In the women's draw meanwhile, rising American star Gauff kept home hopes alive with a battling 7-5, 7-5 win over China's Zhang Shuai on the Arthur Ashe Stadium.
Top seed Medvedev, who plays on Thursday for a quarter-final spot against Denis Shapovalov, can tighten his grip on his current top position heading into the US Open.
Medvedev returned to No. 1 in the rankings this week, with Novak Djokovic dropping to No. 3, and acknowledged that may add to his opponents' motivation in Halle.
Dutch wildcard Tim Van Rijthoven was playing in a maiden title match on just his second appearance in a tour-level main draw.
The win earned Daniil Medvedev a 2-1 lead in his ATP Head2Head series with Ivashka, who is winless in his three tour-level quarterfinals in 2022.
Medvedev had enjoyed his best run in Paris 12 months ago when he reached the quarter-finals.
Daniil Medvedev and Stefanos Tsitsipas target the French Open last 16 while untroubled women's top seed Iga Swiatek eyes a 31st successive win.
Medvedev, who came into Paris with just one match on clay this year following hernia surgery, routed Argentina's Facundo Bagnis 6-2, 6-2, 6-2 on the back of 35 winners and eight breaks of serve.
Daniil Medvedev said he was ready and raring to go as he returns from a hernia operation, tuning up for next week's French Open on the Geneva clay.
Medvedev dropped to second with a third-round loss to Gael Monfils at Indian Wells last week, but would have taken back the top spot from Serbia's Novak Djokovic had he defeated Hurkacz.
The Russian held the No. 1 ranking briefly, lost it to Djokovic again about a week ago and is now closing in on capturing it again.
Shaking off a slow start, the top-seeded Medvedev reached the quarterfinals of the Miami Open on Tuesday by defeating Jenson Brooksby of the U.S. 7-5, 6-1.
Serbia's Novak Djokovic moved into the top spot of the rankings this week, bumping out reigning US Open champion Medvedev after a three-week stay following his third-round exit at Indian Wells.
The All England Club confirmed that discussions were ongoing with both UK government and tennis governing bodies.
French world number 28 Monfils produced a vintage performance to down Medvedev 4-6, 6-3, 6-1 in just over two hours to advance to the fourth round.
Medvedev made quick work of his Czech opponent, finishing Machac off in just over an hour. The Russian won 80% of his first-serve points and saved the lone break point he faced.
The conflict is certain to cast its shadow over Indian Wells, where a dozen players from Russia and four from Belarus are entered along with four from Ukraine.
He also said that this accolade comes with mixed emotions after what has happened in the last week between Russia and Ukraine.