ABSTRACT.- National dairy evaluations use mostly multistep methods, where a nongenomic BLUP evaluation is followed by extraction of pseudo-phenotypes, genomic analyses, and merging nongenomic and genomic evaluations. With genomic preselection and many females genotyped, pseudo-phenotypes are biased, and it is hard to accommodate female genotypes fully. Such problems were successfully solved in other species by ssGBLUP, but large biases and expensive computing were experienced in dairy. This paper documents several improvements that made ssGBLUP feasible for national dairy evaluations.