Considering the mixing of scalar mesons, the ΩΩ and Ξ*Ω systems are dynamically investigated within the framework of the chiral SU(3) quark model by solving the resonating group method (RGM) equation. The model parameters are taken from our previous work, which gave a good description of the energies of the baryon ground states, the binding energy of deuteron, and the experimental data of the nucleon–nucleon (NN) and nucleon–hyperon (NY) scattering processes. Two different mixing cases, one is the ideal mixing and another is 19° mixing, are discussed. The results show that no matter what kind of mixing is adopted, the ΩΩ and Ξ*Ω systems are still bound states. It is also shown that they are deeply bound if 19° mixing is adopted.