[2] Kubešková represented the Czech Republic at four World Junior Curling Championships (2007, 2009, 2010 and 2011) and at the 2011 Winter Universiade.

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.

At the 2018 World Women's Curling Championship, the Czech team qualified for the playoffs for the first time with a 6–6 record.

At the 2016 World Mixed Doubles Curling Championship, she partnered with Jiří Candra, and finished 21st.

[4] Aside from curling she is also a professional journalist, having worked in economic desk of national Czech TV.