Her professional singing career began in the 1960s, when she recorded duets with singers Mića Stojanović and Gvozden Radičević.

During a concert in Aleksandrovac, Lukić expressed her desire to sing as a soloist to accordion player and composer Radojka Živković (1923–2002).

Her version says that on a bus ride to Belgrade in 1967, the composer Petar Tanasijević was sitting behind her and tapped her shoulder and asked her if she wanted to record as a soloist, which she immediately agreed to.

The other version of the story, as told by Petar Tanasijević, was that one night in autumn of 1964, on a bus ride to Aleksandrovac, he was sitting in front of Lepa as she sang a song which annoyed him, so he asked her to stop.

He said that he shuddered and a chill went down his spine when he heard her voice on stage, even comparing her to popular sevdalinka singer Nada Mamula.

[5] Although she never met novelist Ivo Andrić (1892–1975), it was rumored that he liked her song "Vremena su prošla stara" (Old Times Have Passed), also written by Petar Tanasijević.

[10] In 2013, Lepa revealed in an interview that she hasn't driven a car since Silvana's death, out of fear that she would share the same fate as the two sisters.