The exchange bias (EB) phenomenon in La2/3Ca1/3MnO3/La1/3Ca2/3MnO3 bilayers was studied using Monte Carlo simulations combined with the Heisenberg model and the Metropolis algorithm. These simulations were carried out using the model proposed by Kiwi for an uncompensated interface. The Hamiltonian considered several terms corresponding to the nearest neighbor interaction, magnetocrystalline anisotropy and Zeeman effect. Several interactions in the ferromagnetic (FM), antiferromagnetic (AFM) and FM/AFM interface were considered, depending on the type of interacting ion (Mn3+eg, Mn3+eg? or Mn4+d3). The influence of field cooling and cooling temperature on the EB was analyzed and discussed. Regarding the field cooling, it caused an increase in the EB until a certain critical value was reached. After that, its effect was almost negligible. On the other hand, at low values of cooling temperature, not only the EB but also the coercive field were enhanced.