Final answer:
The Homeric poem that parallels the theme of a wanderer in search of a home in the Aeneid is The Odyssey, which features the Greek hero Odysseus' journey home post-Trojan War.
Step-by-step explanation:
The Homeric poem that parallels the theme of a wanderer in search of a home in Vergil's Aeneid is The Odyssey. Both epics share the motif of a hero's arduous journey in the aftermath of the Trojan War. In The Odyssey, the Greek hero Odysseus embarks on a long voyage to return home to Ithaca after the fall of Troy, facing numerous challenges along the way. Similarly, Vergil's Aeneid recounts the journey of the Trojan hero Aeneas as he searches for a new home for his people, ultimately leading them to the future site of Rome. Like Homer’s epic, the Aeneid explores themes of struggle, displacement, and the quest for a promised land, thus drawing a direct parallel to Odysseus' wanderings.