[3] In 2018 she graduated at Faculty of Law of Matej Bel University in Banská Bystrica, Slovakia and she gain Magister degree.

Before starting her studies at high school, she joined the training group for cadets and juniors led by coach Anna Murínová and moved to the Osrblie biathlon club.

[11] She became well-known in 2010 when she first participated in the Youth World Championships in the junior category and immediately achieved a ninth-place finish.

[12] In the 2010/2011 season, at just 18 years old, she competed in four events of the IBU Cup, as the junior category did not exist at the time.

She debuted in Obertilliach with excellent 33rd and 31st places, joining older biathletes such as Prekopová, Chrapánová, and Poliaková.

In the 2011/2012 season, Fialková also participated in the Junior European Championships in summer biathlon, where she won a silver medal in the relay, and her best individual result was sixth place in the pursuit race.

At the beginning of the season, she continued in the IBU Cup but did not achieve outstanding results, especially due to her shooting.

In January, Paulína Fialková made her World Cup debut in the sprint in Nové Město na Moravě, finishing in 84th place.

Her season began poorly, but in the second round of the World Cup in Hochfilzen, she placed 28th in the sprint and 34th in the pursuit race.

At the start of the season, she did not feel well and missed the first two rounds of the World Cup due to health problems.

During the holidays, she underwent tests that revealed pulmonary chlamydia, leading to a two-week antibiotic treatment and a training ban.

[13] Paulína started the season excellently, in the mixed relay in Östersund, she was the fastest on her leg, although she had to reload three times, she passed the baton with just a 7-second deficit.

In the next World Cup round, however, she missed 4 targets in the sprint and finished in the 70s, failing to make it to the pursuit race.