[Mithadan]

I always envisioned Aiglos as having a somewhat broad, leaf-shaped blade. As Rumil points out, the two "senior" Elves present at the time of Gil-Galad's death were Elrond and Cirdan. So if Aiglos survived and did not go up in smoke like blades used to attack the Ringwraiths, then Aiglos would have ended up in Rivendell or the Grey Havens.

But to where from there? An interesting issue is what comes of Elvish heirlooms when their owner is slain and they are later brought into the West by others. Aiglos and Glamdring leap to mind and there are likely uncounted other examples. The owners of such heirlooms have likely emerged from Mandos or will do so. What then becomes of these items? Does Gil-Galad confront Elrond or Cirdan and say "Here now, thanks for holding it for me, but it's mine now..." And what happens if there is a dispute about ownership?