The success of core transfer (CT) depends on the origin of the donor cell, on the stage of development of the recipient cytoplast and on the synchronization between the cell cycle of the donor and recipient cells. The somatic nucleus must be reprogrammed after CT, thus restoring the totipotent state, and then resuming cellular development. However, it is noted that the efficiency of CT is still low, especially with a deficiency of the overall gene expression of the cloned embryo. However, the number of species of cloned mammals has been increasing in the last years, being this technique an important tool that does not aid in the effectiveness of buffalo reproduction. Thus, this review focuses on the description of the main processes pertinent to this process, as well as to analyze as future implications, as well as some factors that affect the success of nuclear transfer.