Okay, I remember from the past that there were some important things to note when tempering an item in regards to refining.
Right now, my current equip has been refined to level 8. If I were to temper it now, I believe that the base stats would be re-rolled, but the refine bonus would not adjust to the tempered results. If I remember correctly, getting the weapon to its next level should reset this.
Is that what happens, or is it something else? I really can't remember. =/