To clean stains from vinyl tabletop, I use a clean cloth and a mild dish soap and water. Dry the countertop after washing to prevent water from pooling in the seams. Stained areas can be treated with...
You can try a mind vinyl cleaner available at most pool supply stores, but if the burn is actually into the vinyl you may not be able to clean it entirely.
Since egg stains on vinyl siding are extremely difficult to remove (not even high volume power-washing will take it off) you have nothing to lose by trying this before having to replace that section...
Some vinyls will stain and there is nothing you can do to remove it. When this happens, it is usually caused by having asphalt on your shoe soles. If this is the case, the stain is in the seal coat...