The Reactivity Control Compression Ignition (RCCI) engines offer better emission control and thermal efficiency compared to conventional diesel engines. However, cyclic variations leading to engine combustion instability pose a significant challenge in their development and commercialization. This study aims to identify the engine configuration with superior deterministic traits by implementing recurrence analysis techniques (recurrence plot and its quantifications) on Indicated Mean Effective Pressure (IMEP) time series data obtained from a modified single-cylinder diesel engine. Experiments were conducted with varying engine configurations, including different load conditions (4 kg and 8 kg), diesel direct injection mass split ratio (50–50 and 70–30), and port fuel injection mass (8 mg/cycle and 12 mg/cycle), all while advancing diesel main injection timings (SOI-2: 10°, 20°, 30°, 40°, and 50° bTDC). The analysis demonstrated that the combustion process exhibited RCCI mode only when the main injection timings were from the onset of intermediate SOI-2. Based on the recurrence plot (RP) and its quantification analysis (RQA) conducted for these operating conditions, this study concludes that the engine when operating at SOI-2 40° bTDC, 70–30 DIMR, and 12 mg/cycle PFI mass, exhibits superior deterministic traits compared to the other tested configurations. Identifying such configurations would facilitate the implementation of an effective engine control strategy for stabilized RCCI engine operation.