Break from solids?

My baby is 9 months old, he has allergies that show in the form of eczema, no other symptoms and we found out the hard way (eczema was hard to treat, frequent skin infections that developed an abcess in his lymph nodes that was surgically drained). Only allergy we 100% know of is cows milk as when this was all happening was before he was 6 months, now his on solids he gets flare ups with alot of foods and we are still in the process of getting an appointment for allergy testing which his been referred for (different hospit does them), one clear food is bananas, flare ups were almost instant with them, other things not so fast and its hard to know exactly what is it, one baby porridge can cause it, another doesn't. His dietician thinks because its just eczema flare ups, I should carry on trying new things, like i "trial and error" type of thing till his tested.

So right now his got symptoms of some sort of cold, no fever but his sleepy, grumpy, snotty nose, sneezing, sleeping alot and has "ill poops".

Since his immune system is pretty busy fighting this cold, do I take a break from solids? He looooves eating