The fabrics that keep bleeding have dyes that were not completely set at the factory. What you want to use on those fabrics is Retayne. You can do it with hot water in the sink. If a fabric bleeds after a max of two Retayne treatments, you should not use it in a quilt.
The fabrics that bleed a little and then stop are simply over-saturated with dye. Fiber can pick up only so much dye; any excess will bleed into the water. When that excess is gone, the bleeding stops. When the bleeding doesn't stop, that's when you know that the dyes were never properly set in the first place.