3 among juniors in the world in 1983 (in the juniors, she won the Italian Open and Rolex Port Washington, reached the semifinals at Roland Garros and the Orange Bowl, and the quarterfinals at the US Open).

[clarification needed] Goleš competed for SFR Yugoslavia at the 1984 Los Angeles Olympics, where she made it to the finals, losing 6–1, 3–6, 4–6 to Steffi Graf.

The same year, Goleš was part of the Yugoslav team that reached the Federation Cup semifinals.

She also competed in 1988 Olympic Games in Seoul where she beat Arantxa Sánchez Vicario.

Goleš has career wins over top 10 players Kathleen Horvath, Arantxa Sánchez Vicario, Claudia Kohde-Kilsch, Bettina Bunge, Kathy Rinaldi, Lisa Bonder, Katerina Maleeva, Manuela Maleeva, Carling Bassett, Hana Mandlíková, Andrea Temesvári, Nathalie Tauziat, and Virginia Wade.