  We present higher-derivative deformations of the ModMax theory which preserve
both $\mathsf{U}(1)$ duality symmetry and Weyl invariance. In particular, we
single out a class of deformations expected to describe a low-energy effective
action for the ModMax theory. We also elaborate on (higher-derivative)
deformations of the $\mathcal{N}=1$ super ModMax theory.
