Yes, I do know of a way! I use Rit Dye Company's Dye Fixative. I have done a lot of reds and whites and I've found if you don't treat the fabrics, they will bleed -- it's a foregone conclusion. If you use it (and I had to order it direct from the Rit Dye Website) as instructed, it DOES WORK! I don't have any ownership interest in the company -- but when a product works, I don't mind telling about it!
Jeanette Frantz