I just encountered this same broken capillaries around eye socket from realeasing bile in my stomach. My sickness was part dehydration and sinus infection. Vitamin k cream is all one needs?
I used to get them on my face abs arms as a kid. Sanitize a needle and pop them like a pimple. Mine didn't return after it healed. Warning: they bleed quite a lot for s tiny red dot!
For anyone still wondering: broken blood vessels around the eyes, as described in most commenters cases, are because of the pressure and blood in your head when you are coughing, vomiting, etc. The capillaries (tiny blood vessels close to the surface of the skin) expand and contract due to changes in blood flow and pressure in any given area, and because they have very thin walls, this sudden expansion and contraction can cause the capillary walls to "burst". You're seeing them most around your eyes because your skin there is very thin compared to areas like your cheeks or chin. They will probably dissapear after a little while, so no need to fret. I find that putting a cold compress over my eyes often helps to relieve some of the discomfort and speed healing :)
Thank you this was very helpfull
How can I get rid of small red spots all over my face after throwing up? I just got them today.