Agricultural planter row units feature soil finishing assemblies for closing a seed groove after seed is placed in the soil. An adjustable furrow closing assembly enhances upper seed groove coverage and closure with soil resulting in sustained relative humidity levels and optimum seed-to-soil contact for faster seed germination. The furrow closing assembly includes a closing wheel assembly having at least one closing wheel and a press wheel assembly having a press wheel following behind the closing wheels. The closing wheels and press wheel are attached to the planter row unit in a manner allowing the press wheel to move vertically relative to the closing wheels. Adjustable down-force systems are provided to vary the down force applied to the closing wheels and the press wheel to maintain optimum soil contact in irregular terrain and in varying soil densities and conditions to provide optimum soil coverage and compaction of the seed bed.