In this paper, the notation of (weakly) almost Mixed Jordan homomorphism between Frechet algebras is intruduced. It is proven that, under special hypotheses, every weakly almost Mixed Jordan ho- momorphism between Frechet algebras A and B is a weakly almost homomorphism. Also is generalized the automatic continuity of (weakly) almost Mixed Jordan homomorphism between certain class of Frechet algebras, including Frechet Q-algebras.