Location: Oerba 400AF Beach Area
Location: Academia 500AF Anywhere
Or you can just spend a few Gil at the shop for the Orbs. Easier than farming Miquiztli.
Location: Archylte Steppe ???AF Cloudy Grave Ridge
Enemy: Pulsework Gladiator
Location: Archylte Steppe ???AF Sunny Clearwater Marshes
That should help.