Jarry won despite putting up 54 unforced errors against 28 winners, absorbing Ymer's 12 aces and falling behind a set. After Jarry failed to capitalize on a 6-5 lead in the third-set tie-breaker, Ymer went ahead 7-6 and served for the match before Jarry fought back to score the final three points.
In the second round, the Chilean will take on Miomir Kecmanovic of Serbia, who ousted Great Britain's Cameron Norrie 6-4, 6-4. Jacob Fearnley, a British qualifier, won his first ATP Tour hard-court match, defeating Corentin Moutet of France 6-2, 7-6(5).
Also moving on are Frenchman Alexandre Muller and Serbia's Laslo Djere, who next will meet the fourth seed Tommy Paul, the 2021 Stockholm champion.
European Open
Fifth-seeded Jiri Lehecka topped Jaume Munar of Spain 6-1, 6-4 in Antwerp, Belgium, with the Czech capturing his second first-round win against his opponent in 10 days. Lehecka also defeated Munar in the opening round at the Rolex Shanghai Masters.
In other action, eighth seed Marcos Giron got his 100th ATP Tour win, losing only two points on his first serve to Botic van de Zandschulp of the Netherlands in a 6-4, 6-1 win.
Other winners were Brazilian qualifier Thiago Seyboth Wild, Roberto Bautista Agut of Spain, Zizou Bergs of Belgium and Frenchmen Arthur Rinderknech and Hugo Gaston.
Almaty Open
Russia's Aslan Karatsev upset China's Zhizhen Zhang, the sixth seed, 6-4, 7-6(2) to advance to the second round in Kazakhstan.
A pair of Kazakh players also moved on, including Alexander Shevchenko, who defeated countryman Mikhail Kukushkin, 7-6(5), 7-6 (4), and Beibit Zhukayev.
Adrian Mannarino of France, the eighth seed, outlasted Russian Roman Safiullin 5-7, 7-6 (4), 6-3. Great Britain's Daniel Evans ousted Taro Daniel of Japan, Otto Virtanen of Finland defeated Italy's Fabio Fognini and Canadian Gabriel Diallo held off Australia's Christopher O'Connell.
