In this talk we provide a natural complement to Monod and Shalom's orbit equivalence superrigidity theorem for irreducible actions of product groups by providing a large class of product actions whose orbit equivalence relation remember the product structure. More precisely, we show that if a product Γ1×⋯×Γn↷X1×⋯×Xn of measure preserving actions is stably orbit equivalent to a measure preserving action Λ↷Y, then Λ↷Y is induced from an action Λ0↷Y0 and there exists a direct product decomposition Λ0=Λ1×⋯×Λn into n infinite groups. Moreover, there exists a measure preserving action Λi↷Yi that is stably orbit equivalent to Γi↷Xi, for any 1≤i≤n, and the product action Λ1×⋯×Λn↷Y1×⋯×Yn is isomorphic to Λ0↷Y0.