Recently, a class of mappings named as couplings was introduced in [U.P.B. Sci. Bull. Series A, 79 (2017), 1-12]. Based on this concept, we introduce symmetric Meir-Keeler couplings and we ensure the existence of strong coupled fixed points. We present some concrete examples to support the obtained results. Furthermore, as an application of our results, we investigate the existence of a unique solution to a system of integral equations.