Thank you very much, Jonas @Jonas_Wagner !!!1
Though your advice has not provided entirely all I wanted, but, using it and couple of extra steps, I’ve reached the desired result! Tadammm!!!
So, long story short. You pick up an area with your curves and start editing.
Step 1 - Contrast
Step 2 - Graduated density
Step 3 - Black/White Points
Step1 brings out the details. Step 2 provides fading. With Step 3 you tune your blacks and whites, which, actually attenuates the effect of darkness over the area.
Hence all three modules use the same shape. Two modules of the Tone Curves also use the same blending and mask.
In order to get better at this effect, for the last step, I’m gonna try Levels instead of Tone Curve.