Have you tried using a nasal aspirator? You can purchase one easily from NTUC or Kiddy Palace. I'm using the Pigeon Nasal Aspirator. I have both kinds, the bulb and tube.
If her nose is runny, it should be easier to use the tube type to collect mucus. Hold up the bottle to her nose and suck gently through the mouth piece. The mucus will get collected into the bottle which can be opened and washed.
http://www.pigeon.com.sg/product_uri/health-care/nose-cleaner-tube-type/
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