This paper addresses the issue of testing and diagnosing a memory core embedded in a complex SOC. The proposed solution is based on a P1500-compliant wrapper that follows a programmable BIST approach and is able to support both testing and diagnosis. Experimental results are provided allowing to evaluate the benefits and limitations of the adopted solution and to compare it with previously proposed ones. The solution takes into account several constraints existing in an industrial environment, such as minimizing the cost of test development, easing the reuse of the available architectures for test and diagnosis of different memory types and minimizing the cost of the external ATE.