I cannot be sure about these blood vessels without being able to see your baby, but from your description this sounds like a condition called 'telangiectasia'. Dilatation of tiny capillary blood vessels occurs especially on the sclera or white of the eyes.As there is an inherited condition seen in infants called 'ataxia telangiectasia' it is essential to see an eye specialist.If required you may need to take your baby to see a paediatric neurologist.
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