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Combinatorial optimization problems (COPs) are fundamental to many real-world applications, where efficiently producing high-quality solutions is critical. Recent advances in diffusion-based non-autoregressive models have reformulated solving COP as a generative process, achieving promising results. However, these methods still suffer from accumulated errors and high inference costs due to the multi-step stochastic denoising process. To address these issues, we propose EFLOCO, an efficient discrete flow matching method for solving COPs that learns structured and deterministic solution trajectories. EFLOCO replaces noise-driven updates with smooth and guided transitions, thereby improves inference stability and quality. Furthermore, we introduce an adaptive time-step scheduler that allocates more concentration to critical transition regions, enabling strong performance under few-step constraints. Experiments on standard TSP and ATSP benchmarks show that our method consistently outperforms both learning-based and heuristic baselines in terms of solution quality and inference speed.