In Grímnismál (4), it is indicated that Þrúðheimr lies outside of Asgard, but near the world of the gods and elves.
Notes
^Þrúðheimr is actually also mentioned in one manuscriptArchived 2009-01-22 at the Wayback Machine (Codex Upsaliensis) of Gylfaginning (22), where it is the name of the residence of the jötnarÞjazi and Skaði, but the three other main manuscripts, along with Grímnismál (11), have Þrymheimr.