A pretty good grinding spot I like is located in the "An Asylum From Light" area of Mah'habara Subterra. There are six Cryohedrons that come out of side storage areas with doors and attack your party. At first it was frustrating to try and dispatch them all before one or two self-destructed and killed my leader or another member. But I started using Snow as a Sentinel to shield and reduce the frost damage to the other members and it works quite well. Now that I think about it how ironic is that....Snow shields his friends from the ice bombs.
Anyway, I control Snow using the Sen/Rav/Com paradigm and have him provoke the nasty bombers and then pick steelguard (well, i don't, the autobattle does that) and hold that while the other two party members hack and slash their way through the buggers. Now I dont have to get all frantic, just sit back and collect the valuable components that they drop.

This works well if you are working your way through this area for the first time to get to Oerba. Especially if your party isnt very strong yet.