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The present investigation focuses on the solidification of peritectic binary alloys in the systems Fe-Mn and Fe-C by utilizing phase-field simulations. Isothermal and directional solidification conditions were simulated with this approach and the following aspects were investigated: the phases evolution during the peritectic transformation close to the peritectic temperature for the Fe-Mn alloys with 9.5 and 11.0. wt.%, the kinetics of the γ-phase growth simultaneously into the liquid and into the δ-phase during the peritectic transformation for several alloys under isothermal conditions in the Fe-Mn peritectic plateau, the γ-phase thickness during the peritectic reaction in the Fe-Mn system and, finally, the behavior of the remaining δ-phase amount at the end of solidification for different cooling rates in the Fe-C peritectic alloy. The model approach was checked by comparison with literature data. It was concluded that the present approach is consistent in yielding quantitative results for the interested phase transformation.