I just tried the "Iron on wool setting" on two heat marks left from very hot serving bowls. These marks have been in the top of my cherry dining room table for about 3 years. I was just going to send it out to be refinished, when I thought I would check out this site. IT WORKS!
I used my steam iron on wool, a white tshirt doubled over and just ironed the shirt and looked under the shirt every 30 seconds or so. It took a couple of pressings, but IT WORKS!