Sheer polyester is a versatile fabric because it gives the look of being light and delicate while actually being very durable and washable. Sheer polyester is often used for curtains, dresses and light blouses. Depending on the make up of the polyester and what other materials it might be mixed with, the washing methods may vary. As with any stain on any material type you stand the best chance of removing it completely if you act quickly to treat it.
Check the label for the manufacturer's washing instructions. If the article is dry clean only, do not attempt any kind of stain removal yourself.
If the stain is fresh, blot the grease spot with a soft absorbent cloth to remove any excess.
Sprinkle corn starch or baby powder on the spot and allow it to sit for thirty minutes to draw the grease out of the material. Brush the powder off thoroughly and reapply if needed.
Put one or two drops of dish soap directly on remaining stains and rub it in gently with a clean cloth. Run hot water over the grease spot only to remove the soap. Allow it to air dry. Repeat if necessary.