What's the best way to paint or recolor rubber?

I’m making a costume that involves shoes with teal blue trim. I bought some slip-ons with rubber trim around the bottom, much like Converse shoes have. The problem I have is making the white trim the blue I need.

I tried painting the white rubber with craft paint, and it chipped after a couple hours of wear, even if I used a fixative. I’ve also tried gluing blue ribbon around the rubber with a very sticky glue, but it still came off after a while.

Is there any substance I could perhaps coat the rubber in that I could paint over so it stays? Or perhaps another method of doing this that I haven’t thought of?

Much appreciated, my fellow jellies. :)