(1)    Except as provided in sub. (2), any person whose license has been canceled, whether the license has been canceled by the secretary or stands canceled as a matter of law, may apply for a new license at any time. Upon receipt of the application and all required fees, and after processing the application as provided in s. 343.165, the department shall issue or refuse issuance of the license as upon an original application. The department may, but need not, require the applicant to submit to an examination as provided in s. 343.16.

   (2)   If a person’s license has been canceled under s. 343.25 (2) or (3), or canceled because of the person’s nonpayment of a fee, the person’s license may be reinstated as provided in s. 343.38 (3g).