Sápmi province south of Finland?

[Brynjolfr]

I've noticed that the province south of Finland (in EB) is named "Sápmi". How comes that? The sami people lived (and still lives) in northern Sweden, Norway, Finland and western Sibiria. Did the sami really have settlements south of Finland? Or was the province just named "Sápmi" by the romans, who may have thought that everyone in the northern Europe were sami?

Source: http://en.wikipedia.org/wiki/S%C3%A1pmi_%28area%29


Edit: Added a source.