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This paper aims to explore the shortcomings and challenges of Applied Cognitive Linguistics (ACL) in L2 classrooms and research. It examines the main issues and presents a case study with three quasi-experimental classroom studies. These experiments taught the Spanish past simple tenses using approaches informed by Cognitive Linguistics and Communicative Language Teaching, plus a control group, through a pretest/posttest design. Results favored cognitive-pedagogical instruction, but only in one production task (Alonso-Aparicio & Llopis-García, 2019). Subsequent studies replicated and extended the first, with further changes in instruction and assessment design, but found no significant differences between experimental groups in the posttest. The discussion highlights the steps taken to ensure study success, pointing out shortcomings in traditional assessment tests that favor notional-functional instruction. We suggest alternative testing tasks that consider cognitive-based approaches and new avenues for future research, aligning with Martín-Gascón et al. (2023).