In joint work with Pelinovsky and Plum, we establish an improved form of orbital stability of domain walls for a class of coupled Gross-Pitaevskii systems. We work in a suitable weighted $H^1$-space, adapted to the domain walls to overcome the degeneracy of the linearized operator and lack of coercivity. Our proof does not make use of any integrability assumption and it is thus quite flexible. Also, our approach is strong enough to allow for controlling the modulation parameters in the time evolution of the modulation equations.