Mamey sapote (Pouteria sapota) seeds oil has potential as human consumption oil due to its high content of oleic acid. In order to design a solid-liquid extraction sustainable process, (hexane)-(oil)-(Pouteria sapota seeds) extractive system was modeled for different extraction modes applying novel mathematical relations. One equilibrium stage solid-liquid extractions (SLE) and dynamic SLE with continuous solvent flow through a particles fixed bed were experimentally performed in order to estimate the extractive system thermodynamic properties. The results for thermodynamic distribution constant, specific retained solution and oil diffusivity in underflow (seeds-extract mixture) were 0.24 g/g, 1.58 g/g and 8.68 × 10-11 m2/s (at 30 °C) respectively. These properties, applied in the mathematical models of counter-current equilibrium multistage and dynamic SLE processes, reproduced experimental behavior with 4.53-16.7 average difference %. All rights reserved, Elsevier.