The fourth seed produced an expertly measured performance to prevail over De Minaur 6-2, 6-4, and get up and running at the season finale. Medvedev, the 2020 champion, had all the answers in a chess-like battle to improve to 7-3 in the pair's ATP head-to-head rivalry.
Medvedev looked transformed from the erratic player who fell to a straight-sets defeat to Taylor Fritz in his opening-round match. In his clash with De Minaur, he did not face a single break point, according to Infosys ATP Stats, and outhit his opponent 24 winners to 10.
In a performance in sharp contrast with his opening match defeat to Fritz, Medvedev was ruthless in attack throughout the encounter. The 28-year-old was particularly strong throughout the opening set, winning 20 out of 31 baseline points.
The second set was more evenly contested, but Medvedev came alive in a crucial ninth game to break serve and close in on his first Top 10 win on hard courts since March.
Medvedev's 78-minute triumph means that Taylor Fritz could qualify for the semifinals if he overcomes World No. 1 Jannik Sinner in their clash. Medvedev will seek to bolster his hopes of progressing from the John Newcombe Group when he takes on the Italian on Thursday.
The loss is a blow to De Minaur’s hopes of advancing to the knockout stage on his debut appearance in Turin. The 25-year-old, who will face Fritz in his final round-robin match, is now 0-2 in the group.