Dress Dye Bled Onto Itself?

For silk cotton material dresses, dry wash can be replaced by a shampoo wash. Usually we do that, but this time while we washed a silk cotton dress (Chudi top) the dark dye mixed with the lighter dye. The dress color is magenta and sandal. After a shampoo wash, we saw that the magenta dye color mixed with the sandal dye color. Is there any chance to recover the actual sandal dye color by removing magenta dye color? The dress material is silk cotton where normal wash is not applicable.