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This study analyzes the equilibrium of a search-and-bargaining model with heterogenous goods and agents. The model allows for both explicit and implicit search costs as frictions defining the economy. We investigate the relationship between the steady-state search equilibrium of this economy as frictions become negligible and the (competitive) equilibrium of the frictionless counterpart of this economy. That the search-and-bargaining equilibria converge to the competitive one is well-established. Here, we present the converse of this analysis. We show that, under the assumption of strict supermodularity of the surplus function, for each competitive equilibrium, one can find a search-and-bargaining equilibrium that approximates the competitive equilibrium when frictions are small. Keywords: Search and Bargaining Markets, Matching Markets, Competitive Equi-librium, Strategic Foundations