Veins don't "go away" however then can reduce in size and be much less visible. There are hundreds of causes of "red eyes", you obviously started to use Naphcon-A for some reason, likely red.
See an Eye MD to determine why they are red. Find one near you at www.geteyesmart.org
JCH MD
i have BIG veins everywhere in my eyes now because of the rebound effect. Will the vessels go away?