In some versions of Norse mythology, Váli was one of the sons of Loki. He is mentioned in the Gylfaginning section of Snorri Sturluson's Prose Edda, chapter 50, possibly by confusion of a reference to Váli, son of Óðinn as binding Loki.
In the account in Gylfaginning, after the death of Baldr the Æsir chase down and capture Loki:
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Loki is a god in Norse mythology. He is the son of Fárbauti (a jötunn) and Laufey (a goddess), and the brother of Helblindi and Býleistr. Loki is married to the goddess Sigyn and they have two sons, Narfi or Nari and Váli. By the jötunn Angrboða, Loki is the father of Hel, the wolf Fenrir and the world serpent Jörmungandr. In the form of a mare, Loki was impregnated by the stallion Svaðilfari and gave birth to the eight-legged horse Sleipnir.
Like other gods, Loki is a shape shifter and in separate sources appears in the form of a salmon, a mare, a fly, and possibly an elderly woman named Þökk (Old Norse 'thanks'). While sometimes friendly with the gods, Loki engineers the death of the beloved god Baldr. For this, Odin's specially engendered son Váli binds Loki with the entrails of one of his sons, where he writhes in pain. In the Prose Edda, this son, Nari or Narfi, is killed by another of Loki's sons, who is also called Váli. The goddess Skaði is responsible for placing a serpent above him while he is bound. The serpent drips venom from above him that Sigyn collects into a bowl; however, she must empty the bowl when it is full and the venom that drips in the meantime causes Loki to writhe in pain, thereby causing earthquakes.
In Norse mythology, Narfi (Old Norse: [ˈnɑrve]) is a son of Loki, referred to in a number of sources. According to the Gylfaginning section of Snorri Sturluson's Prose Edda, he was also called Nari and was killed by his brother Váli, who was transformed into a wolf; in a prose passage at the end of the Eddic poem "Lokasenna", Narfi became a wolf and his brother Nari was killed.