A process for converting triacylglycerides-containing oils into crude oil precursors and/or distillate hydrocarbon fuels is disclosed. The process may include: reacting a triacylglycerides-containing oil-water-hydrogen mixture at a temperature in the range from about 250° C. to about 525° C. and a pressure greater than about 75 bar to convert at least a portion of the triacylglycerides and recovering a reaction effluent comprising water and one or more of isoolefins, isoparaffins, cycloolefins, cycloparaffins, and aromatics; hydrotreating the reaction effluent to form a hydrotreated effluent.