Samková initially competed in freestyle snowboarding but after several injuries she began competing in snowboard cross in the 2008/2009 season. Her trainers are Marek Jelínek and Jakub Flejšar. Her signature in competitions is a moustache drawn on her upper lip.
Samková won the Junior World Championship three times (2010, 2011, 2013) and the Czech national title in 2013. She also won three races of the World Cup series (Blue Mountain and Montafon 2013, Vallnord-Arcalís 2014). After skipping the 2011/2012 season due to knee injury, she was placed 4th in the FIS Snowboard World Cup series in the 2012/2013 season and in December 2013 she won the Winter Universiade.
She won a gold medal in snowboard cross for the Czech Republic at the 2014 Winter Olympics in Sochi. Samková attracted additional comment because she participated in the quarter-final, semi-final and final races with a moustache drawn on her face. She said it was for luck. In the same year Samková was second at the Winter X Games in Aspen.