Reactivity controlled compression ignition (RCCI) engines are considered as a potent solution to realize near zero nitrogen oxides (NOx) and soot emission with higher thermal efficiency. However, operational control in RCCI engines is challenging, as events such as ignition and combustion phasing etc. are mostly decoupled from hardware induced start of injection. In modern control architecture, these real time data are internally computed using signals from cylinder pressure sensor (CPS). Lately, physics based control models or grey box models in RCCI engines were considered as a cost competitive and smart alternative to hardware signal source. In this work, an attempt was made to develop and compare physics based grey box model with data based neural networks, trained through supervised learning (or the black box models) to accurately predict dynamic combustion control parameters across five engine loads and incremental premix energy share not exceeding 60%. Chosen control parameters for the study were the start of combustion (Ɵsoc), 50% mass fraction burnt crank angle (Ɵ50) and combustion peak pressure (PP). The model predictions were compared with real time experimentally measured data and comparative model quality study was carried out. Results indicated that the grey box model regression (R2) values for Ɵsoc, PP and Ɵ50 were 0.7054, 0.9535 and 0.7658 respectively that increased to 0.7637, 0.9654 and 0.8854 respectively for black box models. The overall tracking error for Ɵsoc was 2.442 and 2.0780CA for grey and black box models, respectively. For Ɵ50, the error was 4.262 and 2.9040CA in the same order. Finally, for PP, the error was 6.420 and 5.475 bar respectively for grey and black box models. Grey box models exhibited higher skewness and lower kurtosis values in error distribution compared to black box models.