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In this paper we outline a model for grounding of natural language statements being conditional statements extended with modal operators of possibility and belief. This work extends a detailed theory of modal language grounding proposed elsewhere. At first, some comments and intuitive semantics of modal conditional statements are presented. At second, a general structure of formal model, that covers this semantics is proposed. This model refers to the idea of possible worlds semantics. The grounding of modal conditional statements is defined by means of original concepts of epistemic satisfaction relation. The work sets up theoretical basis for further analytic and experimental evaluations.