Spider Veins on Face

For Broken Capillaries (telangiectasias) on the face there is a number of lasers that work well. Though IPL or BBL at the proper settings correct many there are also specialized laser such as the Diolite KTP laser, Sciton laser and Candella tuneable dye laser that work great for these problems. I do NOT recommend doing sclerotherapy around the nose as complications, some serious may occur in this area.

I do not recommend sclerotherapy treatment for the face.  Instead, a good treatment option for this would be Intense Pulse Light laser.  

The most common way to treat facial veins is with laser, not sclerotherapy.
Facial blood vessels are often mistakenly referred to as "broken" blood vessels. These are actually very functional, just unnecessary and superficial veins that are unwanted. They are most commonly treated by laser treatment with the newer versions of the old Pulsed Dye Laser. These newer 595 nm. lasers are high energy of pure yellow light, one specific monochromatic wavelength that is absorbed by the red color of the blood cells in the blood vessels. The energy absorbed is then converted to heat which damages the internal lining of the blood vessel and the body then starts a process of dissolving the vessel. Usually this takes several monthly treatments. This newer technology does not create the immediate bruising usually that occurred with the older pulsed dye lasers.
Other treatments include the electrical needle coagulator (hyfrecator) , the KTp laser, radiofrequency, and broad-band light energy (IPL).
Sclerotherapy which is commonly done for leg vein injections, has a risk when done on facial veins. These veins, especially near the central face, do not have valves and connect back with important veins of the head including those of the eye's retina. Should the liquid sclerosant travel back to these vital veins, or a clot form and travel, then serious consequences could occur.
Large veins on the face, especially near the eye, can be surgically tied off.