Fever from 72 hrs no associated symtoms.

You didnt mention the age...if its more than 3 days then your child required examination and  investigation  based on it...

continue paracetamol

consult pediatrician

This episode of fever may not be related to his bronchial asthma for which you are nébulisant .he needs fever control measures like spomging of whole body with tepid water not leukearm water or cold water , comfortable environment and paracetamol with food / feed. But he does need consultation too even if it is teleconsultation . Second important issue is control of his asthma so that he doesnot need nébulisation . Nébulisation is only an emergency measure. We need to find a cause for his allergy , keep his airway inflammation under control by preventer inhaler so that he doesn’t get emergency nébulisation and his disease is better contrôles and he has better quality of life . Well at present fever tales priority keep other things in mind too .