There are non-invasive (lasers) as well as minimally invasive (sclerotherapy) options that can help with this problem.
I use a long pulse ND:Yag laser in my practice to deal with this problem. It can be set to target deep and large blood vessels such as those found under the eye.
I would recommend a full consultation with a dermatologist or aesthetic physician to find out more background about the problem and discuss a treatment plan before proceeding.
