Hello,
Eczema is characterised by red, dry patches which are itchy. If the rash is non itchy then it can be pityriasis alba. Pityriasis alba is a common skin condition mostly occurring in children and usually seen as dry, fine-scaled, pale patches on the face.
No treatment is required and the patches in time will settle in due course of time. The redness, scale and itch if present may be managed with simple emollients and sometimes hydrocortisone, a weak steroid, is also used.