I did a bit of research this morning, and the best guess I have is that "Swedish Pine" would most likely be Scots Pine, Pinus sylvestris. As far as I know this is the only native Pine species to Sweden. There are a couple of newer introduced species (Lodgepole/Pinus contorta and Mugo/Pinus mugo) so it is possible, but less likely, that it is one of those.

As for a closely matching wood locally, I can't say. Scots pine tends to have a bit more contrast between heartwood (slightly reddish-brown) and sapwood (white/yellow) while Lodgepole will be more uniformly pale/yellow. I doubt it is Mugo since it is more typically grown as a shrub.