The next season, Svatoňová joined the Czech women's team, skipped by Anna Kubešková as lead. The team played in 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 on, in that season, Svatoňová re-joined her junior team for a final season at the 2014 World Junior Curling Championships. Svatoňová was bumped to the lead position, with Hajkova taking over as skip. The team could not replicate previous successes, finishing with a 3-6 record, in 7th place.