It has been conventional wisdom amongst eye doctors that most infections related to contact lenses actually originate from the contact lens storage case. I usually recommend rinsing the case after use and filling with fresh solution. However, it appears that thoroughly rubbing the inside of the case with clean fingers helps remove most of the biofilm on which the bacteria grow. I also usually recommend replacing one's case on a regular basis. I am surprised how many new patients come into my office with grimy, dirty contact lens cases.
According to this study:
"digital rubbing and rinsing, and/or wiping the lens cases with tissue are recommended. Air-drying and recapping the lens case lids after use without any additional cleaning methods or the use of antimicrobial cases should be discouraged."