With the widespread popularity of carbon neutrality, the decarbonization approach using carbon capture, utilization, and storage (CCUS) has grown from a low-carbon utilization technology to an indispensable technology for the entire global carbon-neutral technology system. As a primary method to support CCUS research, source-sink matching models face several new demand-oriented challenges. Comprehensive research and in-depth insights are needed to guide targeted capability upgrades. This review evaluates the advances, challenges, and perspectives of various CCUS source-sink matching models developed in the past 10 years. We provide an integrated conceptual framework from six key attributes relating to mitigation targets, carbon sources, carbon sinks, transportation networks, utilization, and integration (synergy). The results indicate that previous models have effectively deepened our understanding of the matching process by targeting various CCUS-related issues and provided a solid foundation for more robust models to be developed. Six perspectives are put forward to outline research and development prospects for future models, which may have meaningful effects for advancement under emerging carbon neutrality targets.