Is a 10 mg of protein in urine normal?

Depends. Was it a random urine or 24 hour urine? Is the the amount of protein in 24 hour urine of 10 mg/dL? Were you dehydrated when urine was collected? See this site for information on this topic. http://www.nlm.nih.gov/medlineplus/ency/article/003580.htm.