Ulla Pia was born in Copenhagen, where she started her career as a vocalist with bands and orchestras. In the mid-1960s she was singing with jazz musician Finn Ziegler, and it was suggested in 1966 that she enter a song in the Danish Eurovision selection, Dansk Melodi Grand Prix. She performed the song "Stop - mens legen er go'" ("Stop, While the Going's Good"), and to her surprise, emerged the clear winner. Ulla Pia stated in a recent interview that she had assumed that one of her better-known competitors (such as Dario Campeotto or Gustav Winckler) would win, and her victory came as a shock to her. Ulla Pia went forward to the eleventh Eurovision Song Contest, held on 5 March in Luxembourg City, where "Stop – mens legen er go'" could manage only 14th place of the 18 entries, despite an engaging performance in which Ulla Pia was joined on stage, unusually for the time, by two dancers. It would prove to be Denmark's last Eurovision appearance for over a decade, as broadcaster DR withdrew from the competition in 1967, and would not return until 1978.