Mixtures of arabinooligosaccharides, oligogalacturonides and oligomers made up of other structural units were obtained by non-isothermal processing of SBP in aqueous media. Kinetic models suitable for reproducing and predicting compositional data of reaction liquors as a function of the operational conditions were developed. According to the model predictions, the maximum arabinooligosaccharides yield (15.7 g/100 g SBP) corresponded to a treatment carried out to achieve 171.5 °C. Alternatively, the maximum oliogogalacturonide yield (14.1 g/100 g SBP) was predicted for a treatment performed to achieve 158.2 °C. In both cases, the overall yield of oligomeric saccharides was near to 30 g/100 g dry SBP, whereas the oligosaccharide mixture of higher purity was obtained operating at 158.2 °C. Depending on the operational conditions, SBP processing in aqueous media yielded oligomers with different compositional profiles. The developed models were suitable for a quantitative interpretation of experimental data, and provided key information for both design calculations and economic evaluation.