(a) The Secretary of State is authorized to suspend, for the period set forth in Section 6-208.1, the driving privileges of persons arrested in another state for driving under the influence of alcohol, other drug or drugs, or intoxicating compound or compounds, or any combination thereof, or a similar provision, and who has refused to submit to a chemical test or tests under the provisions of implied consent.
     (b) When a driving privilege has been suspended for a refusal as provided in paragraph (a) and the person is subsequently convicted of the underlying charge, for the same incident, any period served on suspension shall be credited toward the minimum period of revocation of driving privileges imposed pursuant to Section 6-206.