I am sorry, this is probably due to the language barrier, but I really do not understand what you are after. Perhaps you could post an image or a drawing explaining it?
If it helps, I am attaching a screenshot showing different HDRIs used for direct visibility, reflections, and refraction. Another HDRI could be used for illumination, but in this case I used a solid color.
The thing in the center is a window using a glass material with "Thin shell" option enabled (but it would work the same if this option was disabled).
As you can see:
- the "noon" HDRI with blue sky is visible directly
- the "sunrise" HDRI is visible as reflection - you can see the strong sun disc reflecting in the window
- the "night city" HDRI is visible as refraction - you can see a building as the refraction in the glass
If this doesn't answer your question, I will need more precise description of the issue.