Bachleda was born in Mexico, city of Tampico, the daughter of Lidia and Tadeusz Bachleda-Curuś. Her uncle is Adam Bachleda-Curuś, former mayor of Zakopane.
While growing up in Poland, Bachleda studied at the National Ballet Academy in Kraków from 1989 to 1998, and at the National Academy of Music’s vocal department in Cracow from 1998 to 2000. As a 19 year old, she moved to the United States to study acting at the Lee Strasberg Theatre and Film Institute in New York City.
As a 15 year old, Bachleda landed a lead role in the 1999 film Pan Tadeusz, directed by the legendary Polish Academy Award winning director Andrzej Wajda. Four years later, she won a role in Polish soap opera Na dobre i na złe. Bachleda then began crossing over into mainstream films outside of Poland, appearing in the German film Sommersturm in 2004. She returned to her birthplace of Mexico to film the 2007 thriller Trade, starring Kevin Kline. The film gave an unflinching look at the world of human trafficking. Bachleda then returned to Europe to play a Jewish girl in the historical drama Der geköpfte Hahn, which took place during World War II in Transylvania, Romania. Her next film was 2009's Ondine, a film about an Irish fisherman who thinks he catches a selkie.
Bachleda is scheduled to star in an upcoming John Jopson movie, The Absinthe Drinkers, set in 19th century Europe. Bachleda was cast as Artemisia von Rach, a talented young German painter. The cast includes John Hurt, Tim Roth, Keith Carradine, Peter Facinelli and Jürgen Prochnow.
As of August 2010, Bachleda is set to star in a movie titled The Girl Is in Trouble. The Girl Is In Trouble is scheduled to be shown at the 2011 Sundance Film Festival in Park City, USA.
As of July 2010, Bachleda was scheduled to act in an Italian film titled 11 September 1683, formerly titled The Battle of Vienna.
On October 7, 2009, she became the mother of Irish actor Colin Farrell's son - Henry Tadeusz Farrell. Henry, born in Los Angeles is a citizen of Poland (his mother's citizenship) and Ireland (his father's birthplace). The boy was baptized on December 29, 2009 in the Roman Catholic Church of the Visitation of the Blessed Virgin Mary in Kraków. It was reported on 15 October 2010 that Farrell left Bachleda a couple of months ago. Soon after it was officially confirmed.