It depends on intended use for the product water. For instance, water used for drinking will require remineralization to re-establish hardness and alkalinity levels and to oxygenate the water.
If the water is for process use and low TDS is a requirement, adding caustic may not be suitable either. If you can mainitain the dissolved oxygen at less than 0.3 mg/L you may not have to do anything special.
I know there are a lots of "ifs" in my response but you will have to tell me more about your intended use of the water.