Sigmundur Brestisson (961 – 1005) was the first Faroe-man to convert to the Christian faith, bringing Christianity to the Faroes at the decree of Olaf Tryggvason. He is one of the main characters of the Færeyinga saga.
According to the Færeyinga saga, emigrants who left Norway to escape the tyranny of Harald I of Norway, settled in the islands about the beginning of the 9th century. Early in the 11th century, Sigmundur, whose family had flourished in the southern islands but had been almost exterminated by invaders from the north, was sent back to the Faroe Islands, whence he had escaped, to take possession of the islands for Olaf Tryggvason, king of Norway.
At first Sigmundur tried to Christianize the Faroe Islanders, on decree of the Norwegian king, by bringing the order to the Alting in Tórshavn, but was nearly killed by the angry mob. He then changed his tactics, went with armed men to the residences of the chieftain Tróndur í Gøtu, broke in his house by night and gave him the choice between Christianity or beheading. That worked.
According to tradition, his gravestone is located in the so-called Sigmundarsteinur in Skúvoy. It bears a carved cross and was part of the old church.