Kubešková led the Czech Republic to an 8–3 record in the "B" Pool of the 2015 European Curling Championships and in 2016 they played in the 2016 Europeans, finishing in 4th place, which also qualified them for the 2017 World Women's Curling Championship. There, the finished with a 5–6 record. At the 2017 Euros, they finished with a 3–6 record, qualifying once again for the World Championship. At the 2018 World Women's Curling Championship, the Czech team qualified for the playoffs for the first time with a 6-6 record. They then lost the qualification game 7-3 to Russia's Victoria Moiseeva. The 2018 Europeans were not successful for the Czechs as they did not qualify for the World Championship. The following season, they would qualify for the Worlds, after going 3–6 at the 2019 European Curling Championships. The 2020 World Women's Curling Championship was cancelled due to the COVID-19 pandemic, but Kubešková represented the Czechs at the 2021 World Women's Curling Championship which was played in a bio-secure "bubble" to prevent spread of the virus. There, she led her team to a 3–10 record, in twelfth place.