The 30-year-old reached the top of a 15-metre wall in 5.46 seconds in the final race to finish behind Austria's gold medal winner Lukas Knapp and France's runner-up Marceau Garnier.
A day earlier, Poland's Natalia Kałucka won the women's speed climbing in the southern Polish city of Tarnów, while countrywoman Aleksandra Mirosław finished runner-up in the competition.
Karate bronze for Poland
Meanwhile, Michał Bąbos on Friday won the men's karate kumite 84 kg bronze medal for Poland in Bielsko-Biała, another European Games venue in the south of the country, state news agency PAP reported.
A total of 370 Polish athletes, 188 men and 182 women, are vying for medals at the 3rd European Games, which opened in the historic Polish city of Kraków on Wednesday and run until July 2.
Host nation Poland has so far won 12 medals at the continental multi-sport event, six gold, two silver and four bronze.
The 2023 European Games feature 12 days of competition in 29 sports and provide opportunities to win European championship medals and a pathway to qualify for the 2024 Olympic Games in some of the sports.
Polish Sports Minister Kamil Bortniczuk has said that Poland is aiming to top the medals table of the Games.
"We set ourselves ambitious goals," Bortniczuk said. "We hope to finish top of the medal standings."
More than 7,000 athletes from 48 countries have flocked to Poland to compete in the event, which is taking place at 25 venues in 13 southern Polish cities.
Poland won 14 medals, three gold, one silver and 10 bronze, at the 2nd European Games in Minsk, Belarus in 2019.
Team Poland scooped 20 medals, two gold, eight silver and 10 bronze, at the 1st European Games in Baku, Azerbaijan, in 2015.
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Source: PAP, TVP Sport, polskieradio24.pl, european-games.org
