The Liverpool FC Women defender netted the opener just six minutes into the game in Kalmar.
Elsewhere on Wednesday, Zara Shaw started as England U20s won 1-0 in a friendly against Canada that was played in Pinatar, Spain.
Internationals: Alice Bergstrom scores, Zara Shaw in action
Alice Bergstrom scored as Sweden U23s beat Norway 2-0 in an international friendly.
