Hi …. What works for my baby is bamboo clothing / sheets / towels. Once her skin touches anything rough her eczema will come. Also I use boiled water to wipe her face, and I use 100% plant based products if possible - best diaper cream is California baby the silver packaging which is 100% plant based.
Maybe perhaps would suggest for you to see specialist in skin care clinic as well as doing diary journel to monitor what triggers the infant eczema. Also you start switching to product that doesn't use ingredient that also triggers the eczema too.