I think you can use that inhaler with other medicines. But regarding others, I can't tell much. But It would be a great idea to concern with your local doctor or specialist who can tell you whether you should continue both medicine or not. Besides that, you can try some home-based air humidifier machine(can be found in stores like "saline therapy") at home as natural Asthma treatment.
EXERCISE (1) (STARTING FROM EXHALE, Build Co2) for Asthma/cold cough and Lungs Strengthening
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Select a location either garden or near window where fresh air is available.
Sit in a relaxed position, upright position. Take a small napkin for use.
NOW EXHALE FROM NOSE to remove all air from lungs.
with mouth closed, HOLD or PINCH close your NOSE with index finger and thumb.
while holding breath this way, Count 1001,1002,1003.......
Feel the stomach/nose filling up with hold air (CO2)
Ideal hold time is minimum 35-45 seconds .
YOU MUST Hold till STRONG URGE TO BREATH.
Release your nose and relax and do normal breathing for at least 1 minute before re starting the process again
do this at least 2-3 times and not more in 1 sitting.
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