Yes Åmål is a little town in Sweden, but the movie FÅ was shot in Trollhättan, another town not that far from Åmål.
They have a center for film-making there and it's jokingly called Trollywood
Many Swedish films have been made there, scenes shot in studios, postproduction, and so on.
FÅ was shot entirely in Trollhättan, all outdoor-scenes, Agnes house, the bridge over the big road, the school etc.
Only the final scene in the bathroom at the school was actually shot in a studio, in Stockholm for some reason. But only the interiors of the bathroom are a studio, they had to fit in cameras and such, the rest is this school in Trollhättan.