Genetic evaluations in Brazil are performed within each animal breed; however, with the wide range of extant genetic groups in the country and the increased use of genetic crossing as a form of rapid meat production, more elaborate programs that can jointly evaluate animals of different genetic groups are needed. Genetic evaluation of a composite breed is difficult because of the variation in the genetic composition of a given herd, as well as the inclusion of non-additive genetic effects among breeds that can be important for selecting traits in certain breed combinations. Newer models include additive and non-additive effects; however, few studies have investigated these aspects in tropical breeds. The aim of this study was to simulate genetic values to compare different models. Non-inclusion of maternal effects in models leads to overestimation of variance and direct heritability. Estimates of the biological additive effects are influenced by the maternal effects; however, estimates of the non-additive effects are minimally influenced by the maternal effects and are well estimated in any situation. The studied models effectively predict the direct genetic values.