I apologize, I'm just clarifying a few general confusions that people generally have regarding that sidequest.

After the incident the first time at the Sphere Building, you can return to the Eternal Sphere. Ruddle and Rumina (I mentioned them earlier in my post, so I thought 'R & R' was an appropriate abbreviation for 'Ruddle and Rumina') open up a shop in the very upperleft-most house of Aquios (well, when the map is facing north anyway). They sell equipment that is more than likely better than what you'll have until you get better equipment in the post-game dungeons.