Hi Bestrest. The best treatment we have for this issue is a long pulsed yag laser. In contrast to what Dr. Emer has stated, the only time you get "divots or holes" would be if the treatment were not done well. A yag laser is a very safe laser and easily produces the results shown at the link below for nose veins.We actually prefer it to hyfrecation because in cauterization (hyfrecation) you will cause scabbing and potentially indented scarring if the treatment is too aggressive. Just as with lasers, user experience is key to proper outcomes but lasers, because they do not ablate (materially change) the surface of the skin offer a safer solution for the removal of spider veins.One issue of concern is that you are looking for "permanent" results. Permanent removal of these small veins is not possible. They always come back, but the question is how long in between treatments. We hope they stay away for a prolonged period, but every patient is different and with vascular lesions like these, you can expect them to return at some point. To view before and after photos for facial spider vein removal in Los Angeles and Orange County, visit the link below.