Things You'll Need
Baking soda toothpaste
Fingernail polish remover
Permanent markers are wonderful writing tools if you want to leave the mark in place, but if you wish to remove the mark, then it is a different story. Suddenly permanent markers don't seem so wonderful. A few tricks can be tried before you give in to the idea that the ink mark is going to be a permanent fixture on your surfaces, including your diamond ring. The key is persistence. The ink will eventually be removed---just don't give up.
Soak the diamond ring in some water. Five to 15 minutes should be sufficient. This will make it easier to remove the ink stain. If the mark was made recently, it will be much easier to remove than an old stain.
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Place a small dab of baking soda toothpaste on a damp washcloth. Rub the toothpaste onto the area of the ring that has the mark on it. Since diamonds are very durable, the toothpaste will not scratch it or the metal of the ring. Keep rubbing to get it off, then rinse and dry. On top of removing the ink, baking soda is a good overall cleaner, so your ring should be pretty clean when you are done with this process.
Apply rubbing alcohol, fingernail polish remover or even Windex if the baking soda toothpaste does not work for some reason. Soak a cotton ball or Q-Tip with the liquid solution that you choose and rub it on the mark. These solutions should remove the stain fairly well. Keep rubbing and switch cotton balls or Q-Tips often. Rinse and dry when the ink is removed.
Take caution to not ingest any of these solutions used to clean the marker stain. They can be toxic if taken internally.