Compulsory Automobile Liability Insurance Act Article 33

(Insurer Subrogation Right)If an automobile traffic accident is caused by a third party other than the insured, the insurer may, upon payment of insurance benefits, be subrogated to the insured's right to claim against the third party. However, the amount recoverable through such subrogation shall not exceed the total amount of insurance benefits paid.The insurer shall not have the right of subrogation if the third party mentioned in the preceding paragraph is the insured's or claimant's spouse, head of family, other family member, blood relative within the fourth degree, or relative by marriage within the third degree, unless the accident was caused by the deliberate intent of such third party.
中文原文 強制汽車責任保險法第33條
汽車交通事故之發生,如可歸責於被保險人以外之第三人,保險人於保險給付後,得代位行使被保險人對於第三人之請求權。
但其所得請求之數額,以不逾保險給付為限。
前項第三人為被保險人或請求權人之配偶、家長、家屬、四親等內血親或三親等內姻親者,保險人無代位求償之權利。
但汽車交通事故由其故意所致者,不在此限。

English translation for reference only; the Chinese text prevails. Not legal advice.