Symplectic quasi-states are a convenient way to package and see various rigidity phenomenon in symplectic topology. Their general construction uses Hamiltonian Floer homology and requires that the quantum homology ring contains a field summand. Since quantum homology is not functorial there is no general algebraic way to create new quasi-states from known examples. In this talk I will explain how symplectic reduction provides a sort of geometric functoriality that allows quasi-states to descend along to symplectic reductions without further quantum homology computations.