Since it appeared suddenly and you took aspirin, then it's probably a small bruise. It is possible that it is a spider angioma but only time will tell. I would stop the aspirin if you are not taking it on a physician's order and start topical arnica. If it does not improve then a 532 KTP laser can improve it. Eric Dohner MD
Assuming this question is about spider veins on the legs, if the vessels blanch (go away) when you push on them, then the vessels are still open and carrying blood and are not fully treated. If the treatment was 10 days ago, then you can assume you'll need more treatments. This can occur if the treatment is not appropriate for the vessel in size or color, if the underlying feeder veins were not addressed, or if not enough energy was used to treat the vessel. Unless the spider veins on the legs are tiny and red, then PDL is not usually the first choice for treatment. Sclerotherapy with polidocanol (POL) or sodium tetrodecyl sulfate (STS) is still considered the gold standard for spider vein treatments on the legs. Alternatively 532 KTP or 1064 NdYag lasers are generally thought to be more efficacious for laser treatments of spider veins of the legs. It is important to have an ultrasound of the legs before any treatment of spider veins is started. This is to be sure the underlying venous network is functioning properly to allow any spider vein treatment to proceed successfully. If the underlying veins are not functioning properly underneath the spider veins, then the chances of treatment success is greatly reduced.
Bulging vessel on your temple is probably an artery and not a vein. If it pulsates when you touch it then it's an artery. Arteries cannot be injected or lasered because of the damage to the area the artery feeds. However it can sometimes be surgically removed using local anesthesia although this carries it's own risks too. A better option is to plump up the surrounding area with a tissue filler to hide the vessel.
Forehead veins are best and easiest treated with foam sclerotherapy. Usually one session will take care of them. Surgery is difficult to perform on these veins since they are so thin walled. It is important to make sure the sclerotherapy medication does not enter the angular veins by compressing them during and after the treatment. Forehead veins are common after brow lifts or other surgery to the forehead.