If you are trying to decrease contrast, so that highlights are not 'blown" and shadow detail is maintained, "pre-flashing" - exposing the paper to 10% - 20% of the total exposure using the image of a gray card - may be useful.
I once photographed an assembly of girls wearing white and colored gowns on the front steps of a University Building, in BRIGHT (and I mean **BRIGHT**!!) direct noon day sunlight. Preliminary prints indicated absolutely NO detail in the "white" gowns, and NO detail - at all - in the shadows.
The negative was analyzed for color balance and exposure using a ColorStar 3000 Analyser, giving an exposure time of "X" seconds. Then a gray card image was color balanced, the enlarging lens aperture set to duplicate the time of the original; and the paper exposed for 20% of that time. The paper was removed, the original negative replaced that of the gray card, and the paper re-exposed for the remaining 80% of the "X" time.
Easier to do than to write about. The result was *very* successful.