Provided are processes for making saturated hydrocarbons from renewable feed sources. In an embodiment, a process for producing a lube basestock and/or a diesel fuel from a feedstock of biological origin includes: contacting the feedstock in a single reactor in the presence of hydrogen with catalyst components including a first catalyst and a second catalyst, wherein the first catalyst comprises an acidic material, a basic material, or a combination of both, and wherein the second catalyst is a hydrogenation catalyst including a hydrothermally stable binder.