Consider a 4-manifold M admitting symplectic structures. Assume that for some symplectic form w the submanifold V is symplectic. Consider a further symplectic structure w'. Under what conditions on w' does it admit a symplectic submanifold "related" to V? I will described what possibilities one might consider for the term "related" and the results that we have obtained in this direction. (joint with Tian-Jun Li and Weiwei Wu)