Context: Software companies in Bangladesh face challenges with regression testing due to dynamic systems, time constraints, and limited resources. Manual testing increases errors and reduces coverage, and the lack of a systematic framework for test case ranking hampers efficiency. Objective: This paper explores regression testing challenges in Bangladeshi random 10 software firms and proposes an AI-driven solution to enhance testing processes. Method: Summarizing selected works on AI in regression testing, the study identifies researchable problems and emphasizes the need for a systematic framework. It proposes a strategy integrating AI for test automation, adaptive testing techniques, strategic resource allocation, efficient test data management, and change management. Results: The AI-driven approach addresses challenges like limited resources, complex testing, rapid development cycles, and resistance to change. It aims to improve test coverage, reduce errors, and optimize resource utilization. Conclusion: AI-driven solutions are crucial for tackling regression testing challenges in Bangladesh software firms, supporting growth, and ensuring software excellence. Further research is needed to enhance understanding of AI-driven regression testing through comprehensive studies and industry-wide applications.