Fingerprint identification: advances since the 2009 National Research Council report https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4581003/ has a recent summary.
In addition, the 0.1 percent false positive rate is based on a small sample of around 1000 cases. The Federal fingerprint databases such as the ones used in the Brandon Mayfield case have millions of people in them and may eventually have all US citizens (over 300 million people) in them. How does this "small" rate extrapolate when a fingerprint is compared to every fingerprint in the US or the world?