Dahlström gained international attention in 1998, after starring as "Elin" in the movie "Fucking Åmål". For this, she won the Guldbagge Award for Best Actress, together with Rebecka Liljeberg. After "Fucking Åmål" she receiving numerous offers to work in other movies, but she declined the offers, because she wanted to concentrate on finishing school. In 2002, Dahlström worked as assistant director and Russian translator,for Lukas Moodysson, with his movie "Lilya 4-ever". From the 5 March 2007 Alexandra will be participating in the Dutch soap opera Goede Tijden, Slechte Tijden on RTL 4. She will play a Swedish exchanges student called Skylar Nilsson.