In the poem Grímnismál, Odin (disguised as Grímnir), tortured, starved and thirsty, tells the young Agnar that he wishes that the valkyries Hrist ("shaker") and Mist ("cloud") would "bear him a [drinking] horn", then provides a list of 11 more valkyries who he says "bear ale to the einherjar"; Skeggjöld ("axe-age"), Skögul, Hildr, Þrúðr ("power"), Hlökk ("noise", or "battle"), Herfjötur ("host-fetter"), Göll ("tumult"), Geirahöð ("spear-fight"), Randgríð ("shield-truce"), Ráðgríð ("council-truce") and Reginleif ("power-truce").
[3] The Prose Edda book Skáldskaparmál (4) tells that Thor can be referred to by the kenning "father of Þrúðr" (faðir Þrúðar).
Margaret Clunies Ross suggested that the two episodes might be complementary, both dealing with the abduction of a goddess by a giant, its failure and the death of the abductor.
[4] Another kenning may allude to this myth: in Eilífr Goðrúnarson's Þórsdrápa (18), Thor is called "he who longs fiercely for Þrúðr" (þrámóðnir Þrúðar).
For instance, Ormr Steinþórsson in his poem about a woman (4) uses the kenning hrosta lúðrs gæi-Þrúðr, which, according to Anthony Faulkes, can be rendered "keeper of the malt-box (mash-tub) or ale-vessel".