Treating visible veins on the eyelids
I have sucessfully treated visible veins on the lids with a 1064nm laser but I get very nervous about doing this. Veins around the eyes do not have valves so theoretically if the laser caused a clot to form it could get to the retina and cause a venous obstruction. Granted the risks are low, but there is no risk to using make-up.
While IPL can help the rudy complexion of rosacea and other redness causing syndromes, the best treatmeent for small veins is using a vascular laser such as the cleascan from Sciton which basicallay "spot welds" them closed.
Diode 532nm laser for facial veins
IPL helps to minimize background rosy complexion and pigmentation irregularity; however it does not do much for dilated capillaries, i.e. telangiectasia. Diode laser 532nm or frequency-double Nd:Yag 1064nm can be helpful. Care must be taken for facial vein treatment around the eyes and should be done with consultation with an ophthalmologist.
IPL will not help veins around eyes
IPL works very well for small broken blood vessels which are red in color, but is fairly ineffective for larger, blue colored veins. The only solution that is likely to be effective involves an incision and cautery of these vessels.
IPL will not work for those veins
You might get results from a pulse dye laser or a ndYag but I would worry about long term bruising from those devices that could stain the skin and be hard to get rid of. This is a tough problem.
The veins in your eyelids would not be corrected by IPL treatments unfortunately. There is no non-invasive way I am aware of that is successful either. This is a tough problem.
IPL PhotoFacial treatments will not improve visible veins under your eyelid skin.
I see the superficial blue veins in your upper eyelid photo. I'm not aware of any non-invasive topical treatment, like IPL, to coagulate and eliminate these.
As we age, the veins under our thin eyelid skin become more visible. When they're present in the lower eyelid along an area of hollowing, I've found that Injectable Fillers to the hollowed area will lift the skin away from the veins and make them less visible. Simillarly, visible veins in the hands are minimized with Injectable Fillers.
I don't think Injectable Fillers would be a good application to your upper lids. These veins are probably difficult to see with your eyes open.
I hope this is helpful for you.
Tough problem-- may improve with Nd:Yag Laser
As you can tell from the other doctor's suggestions, this is indeed a tough problem that is very difficult to treat-- both because of the delicate nature of these blood vessels and the close proximity to the eyes.
An IPL will be ineffective for treatment of these veins. I have had some success with Nd:Yag laser to these types of vessels- one needs to be very careful treating around the eyes. A special eye shield must be used to prevent damage to the eye.
Best of Luck!