Solbjørg graduated as an actress from Ålborg Theatre 1972 -74, continued as an actress there until 1977. After that, Solbjørg has played on most Copenhagen stages and also Odense and Århus.
She has performed many roles in film, TV and radio drama and has also produced her own theatre productions. Solbjørg has also directed in both Denmark and Sweden.
She has taught theatre at the Opera and Ballet schools of Copenhagen and is also a teacher at the Danish Theatre School. From 1974 - 80 and 1990 -96 she was a Board member of the Danish Actors' Association.
Solbjørg has sat on the representative Board of the Danish Language Council and the Danish Ministry of Culture Educational Board.
In recent years she has performed in "På Herrens Mark" at Teater Grob, toured with "Kvinden ved 1000 Grader" at Aveny Teater, Folketeater and Nordkraft in Ålborg, and been in "Requiem" at Betty Nansen Theatre.
Most recently, Solbjørg directed "Dangerous Liaisons" at Helsingborg State Theatre and "Henrik og Pernille" at Grønnegårds Theatre, Copenhagen.