Hofsá is a river that runs through Vesturdalur in Skagafjörður, Iceland and joins the Vestari-Jökulsá where it flows out of Hofsdalur valley at , a short distance from the church site Goðadalir. Description. The river is a spring creek that primarily comes from streams and lakes at the base of Hofsjökull glacier. Although the water is glacier-colored after the flows into the river, which runs from Hofsjökull, and flows somewhat inward within the area of the abandoned farm , the river confluence is clear. The name of the mountain slope east of the river is called Runa or , from which the river takes the name fork. There are excellent sites for trout fishing from there and all the way up to .