Elpenor is the guy who wandered up to Circe's roof and fell to his death before the men departed. Odysseus talks to him in the underworld, where Elpenor asks for a proper burial: "I ask that you remember me, and do not go and leave me behind unwept, unburied, when he leave, for fear I might become the gods' curse upon you; but burn me there with all my armor that belongs to me, and heap up a grave mound beside the beach of that gray sea, for an unhappy man, so that those to come will know of me" (11.60-65, 69-78).
And so Odysseus actually sails all the way back to Circe's island to give this poor guy a proper burial. That's how important funeral rites are.