Methods are provided for producing low sulfur diesel fuels by performing multi-stage hydroprocessing at low pressure on a distillate feed. A feedstock suitable for forming a diesel fuel product is hydrotreated at a hydrogen partial pressure of 500 psig or less in at least two reaction stages. In order to provide improved desulfurization and/or aromatic saturation activity in the final stage, the stages are configured so that the highest hydrogen pressure and/or highest hydrogen purity are delivered to the last hydrotreatment stage.