(1) Except as described in section 13-80-102 (2), but notwithstanding any other statutory provision to the contrary, all actions or arbitrations under sections 10-4-609 and 10-4-610, C.R.S., pertaining to insurance protection against uninsured or underinsured motorists shall be commenced within the following time limitations and not thereafter:

(a) An action or arbitration of an "uninsured motorist" insurance claim, as defined in sections 10-4-609 and 10-4-610, C.R.S., shall be commenced or demanded by arbitration demand within three years after the cause of action accrues; except that, if the underlying bodily injury liability claim against the uninsured motorist is preserved by commencing an action against the uninsured motorist within the time limit specified in sections 13-80-101 (1)(n) and 13-80-102 (1)(d), then an action or arbitration of an uninsured motorist claim shall be timely if such action is commenced or such arbitration is demanded within two years after the insured knows that the particular tortfeasor is not covered by any applicable insurance. In no event shall the insured have less than three years after the cause of action accrues within which to commence such action or demand arbitration.

(b) An action or arbitration of an "underinsured motorist" insurance claim, as defined in section 10-4-609 (4), C.R.S., shall be commenced or demanded by arbitration demand within three years after the cause of action accrues; except that, if the underlying bodily injury liability claim against the underinsured motorist is preserved by commencing an action against the underinsured motorist or by payment of either the liability claim settlement or judgment within the time limit specified in sections 13-80-101 (1)(n) and 13-80-102 (1)(d), then an action or arbitration of an underinsured motorist claim shall be timely if such action is commenced or such arbitration is demanded within two years after the insured received payment of the settlement or judgment on the underlying bodily injury liability claim. In no event shall the insured have less than three years after the cause of action accrues within which to commence such action or demand arbitration.

(2) As used in this section, unless the context otherwise requires:

(a) "Action" means a lawsuit commenced in a court of competent jurisdiction; and

(b) "Arbitration demand" means a written demand for arbitration delivered to the insurer that reasonably identifies the person making the claim, the identity of the uninsured or underinsured motorist, if known, and the fact that an uninsured or underinsured motorist insurance arbitration is being demanded.

(3) An uninsured or underinsured motorist cause of action accrues after both the existence of the death, injury, or damage giving rise to the claim and the cause of the death, injury, or damage are known or should have been known by the exercise of reasonable diligence.