This paper proposes the Pyramid Matching Model with Training-Free Refinement (PMTFR) framework to solve the Composed Image Retrieval (CIR) problem. While existing two-step approaches require additional ranking model training, PMTFR reduces training costs by leveraging the Chain-of-Thought (CoT) technique. The Pyramid Patcher module enhances the understanding of visual information at various resolutions, and representations extracted from CoT data are injected into LVLMs to improve retrieval results without training. Experimental results demonstrate that PMTFR outperforms the existing state-of-the-art supervised CIR task. The code will be made public.