[1] Szilagyi qualified for the women's 100 m butterfly at the 2012 Summer Olympics in London, by completing the event more quickly than the FINA B-standard entry time of 59.07 seconds from the European Championships in Debrecen.

[5][6] She competed with seven other swimmers on the third heat, including three-time Olympians Hannah Wilson of Hong Kong and former Olympic champion Otylia Jędrzejczak of Poland.

[8] In December 2021, she released a statement claiming that her father, Zoltán Szilágyi have been abusing her mentally, physically and sexually since she was a young child.

Liliána and her mother moved out and left her father after the 2016 European Championships, while her younger sister was forced to stay with him.

Hungary ranks second amongst EU countries in domestic violence, whose victims are mostly advised against suing due to lengthy proceedings and low expectancy on success.