Just a point here, "Imprecise" is not something to be abhorred... If you just want to tet mesh a part, then an imprecise part is most likely not going to need any "repair" at all. In fact, depending on the source CAD system, there is nothing you can do to make it "precise" since that orginal CAD data was modeled using very loose (in ACIS's definition) tolerance. Pro/E by default uses "relative tolerance" which can come back and bite you if you model something long/thin. Rel Tol gives an absolute tolerance value = (bounding box diagonal * rel_tol). I've seen this problem more times than I can remember. A couple of tips: use absolute tolerance (and make it small!) in your Pro/E start part, that way when you start a model you'll already know exaclt what tolerance you'll be regenerating to. Sometimes it is difficult to regenerate a part when you change the tolerance scheme midway through your design
Now, back to CAE. An imprecise part may cause problem with certain boolean operations, typically when you are doing extensive partitioning for structured meshing. Tet meshing is **specifically designed** to handle tolerant (imprecise) parts.
Finally, CAE provides (in the Tools-Query menu) a whole bunch of geometry diagnostics tools. You should use these to interrogate the model to find: short edges, sliver faces, free edges, shell faces etc etc etc. If you are using 6.5-1 then you'll be able to do a whole lot more now to repair bad geometry: repair small edges to collapse tiny edges, also try the merge edges to join a whole bunch of edges into one. This last comman works really well even if you drag select the whole model... Nice if you've imported a CATIA model with the typical problem of having multiple edges along curved faces. Another great query tool is Mesh Gaps/Intersections. Once you have a boundary mesh you should run this check to see if there are any overlapping triangles. Rather than try and make the tet mesher do something with this bad boundary, you can go back and add seeds, use geometry repair, use virtual topology...