Radiative and non-radiative lepton flavor violating (LFV) decays M --> (gamma) + l-lbar pair of meson states M with different quantum numbers can be used to put constraints on the Wilson coefficients of effective operators describing LFV interactions at low energy scales. The restricted kinematics of the two-body meson decays allows for the selection of operators with particular quantum numbers, significantly reducing the reliance on the single operator dominance assumption that is prevalent in constraining parameters of the effective LFV Lagrangian. Studies of radiative lepton flavor violating M --> (gamma) + l-lbar pair decays provide complementary access to those effective operators, but more importantly, they can provide access to operators that cannot be directly probed via two-body decays.