When we open both images in PhotoLine, they look like this:

Automatic HDR Tone Mapping in PhotoLine usually works well, but in this situation when tiny highlight reflection is EXTREMELY bright, it look not too pretty:

If we uncheck "Protect Brightness", we could see very dark image because all available tonal data was shrinked inside visible range:

Now let's keep that dark looking image, add "Exposure" Adjustment layer and increase "Luminance" (I still believe that itis more correct to name this slider "Lightness" because it represents L* (Lab-like) tonal response curve). Perfect:

Also instead of "HDR Tone Mapping" with "Automatic" checkbox, you can use "Output Levels" slider in "Levels" Adjustment (It is really funny to see how near 93% of data in this test sample file is occupied by tiny reflection spot):

Also same trick could be done with single "Exposure" Adjustment Layer. Just use "Exposure" and "Lightness" sliders:






