We introduce in [10] the formal foundations to make a generic combination of one process algebra and one algebraic specification language possible. Furthermore, to strengthen the contribution of this work, a concrete illustration about an orders invoicing case study is detailed in [9]. In this paper, we especially focus on the addition of other languages; indeed in the initial work, we only consider a restricted number of process algebras: CCS, CSP, ACP, basic LOTOS. Therefore, we aim at formalizing the way to extend the previous combination. To achieve this goal, we present a method to enhance the syntax and semantics of the formal kernel introduced in [10]. These guidelines are illustrated with the -Calculus.