I've lived a similar experience when a misplaced unplugged iron dripped onto an unquilted table runner.
The red from the sashing fabric ran on the white background. If these stains were not going to come out, I was not going to quilt it so I went ahead and soaked in my sink in cold water and a product called Dye Grabber. Once in a while I gently moved the runner & dye grabber around. After approx. 15-20 min. the dye grabber had absorbed all the dye from the table runner.
Good luck. Let me know if these worked for you.