Taiwan has established non-liability insurance with the approval of the amendment of Compulsory Automobile Liability Insurance Act (CALIA). According to Article 7 of CALIA, parties injured or dead in an automobile traffic accident can claim insurance benefits from the Motor Vehicle Accident Compensation Fund (”the Compensation Fund”) without consideration of traditional faulty system in the tort law. However, if the insured party complies with the condition of Article 29 of CALIA, the insurer can get legal status for the original injured party and ask for compensation. Another similar mechanism also exists in Article 42 of CALIA, the Compensation Fund can subrogate the claimants for compensation. Without previous consent of the insurer and the Compensation Fund, the insurer and the Compensation Fund shall not be bound by any settlement, waiver of rights, or any other agreement between a claimant and the party liable for damages made, given Article 30 and Article 43. Thus, Article 30 and Article 43, the right of consent to a settlement, can secure the rights of subrogation between an insurer and the Compensation Fund.The author will tackle the following problems in this paper. Under what condition would subrogation right be prejudiced? Are Article 30 and Article 43 disadvantageous to the party liable for damages excessively? Last but not least, in every automobile traffic accident, is the party liable for damages or the claimant, to make a compromise and settlement?