The Scandinavians were favourites to progress to the final, having secured maximum points in Group A.
While Celin Bizet and Elisabeth Terland were named on the bench, Lisa Naalsund started in midfield for Norway and was booked during a first half where the two sides had clear-cut chances but could not be separated.
Cristiana Girelli found the breakthrough after 50 minutes, when she ushered Sofia Cantore's cross into the back of the net.
Ada Hegerberg had the opportunity to equalise from the penalty spot when she was hauled down in the box, but the Lyon forward missed the target from 12 yards.