If done by a professional, both chemical services can be done. I will not lighten permed or relaxed hair more than one shade and generally prefer to use a demi-permanent to return color and shine to the hair. For at home coloring our Color by Robert Craig is the best product to use. Because it contains No ammonia or peroxide it is safe and gentle to use on permed or relaxed hair. Always do a strand test for proper timing and remember Color by Robert Craig will not lighten hair but it can match your natural color or you can go darker or change shades. When using Robert's color is is important to color the roots first so the grey gets covered and then do the chemical service.