In this paper we investigate the possibility of finding models that, in the global minimum, break SUSY by a combined F and D-term effect. We find that if the superpotential is a cubic polynomial in the fields and the Kahler potential is canonical this does not happen. We then give two examples where the previous conditions do not apply and where the vacuum of the model breaks SUSY by combined F and D-term vevs: SQCD+singlet with N_C=N_F+1, and a baryon deformed ISS model. We briefly discuss the phenomenological viability of the models.
Comment: 23 pages,1 figure; some references and comments added