In women's play, Kubešková first represented her country at the 2010 European Curling Championships, where she led her country to a 12–1 record in the "B" Pool. She again played at the Euros in 2012 playing second for Linda Klimova. The team finished with a 3–7 record in eighth place. Kubešková skipped the Czech Republic team at the 2013 European Curling Championships, where they finished the event with a 4–5 record in 6th place. The next month, the team played in the Olympic qualifying tournament in order to play at the 2014 Winter Olympics. The team finished the event with a 2–4 record, which was not enough to qualify. Later that season they played at the 2014 Ford World Women's Curling Championship.