In this paper, we define two classes of meromorphic multivalent functions in the punctured disc U*={w is an element of C : 0 <|w|< 1} < 1 by using the principle of subordination. We investigate a number of useful results including subordination results, some connections with a certain integral operator, sandwich properties, an inclusion relationship, and Fekete-Szego inequalities for the functions belonging these classes. Our results are connected with those in several earlier works, which are related to this field of Geometric Function Theory (GFT) of Complex Analysis.