This paper uses proximities to obtain near compactifications of topological spaces. Typical of the results is the following theorem. Every Hausdorff almost completely regular space (X,\(\tau\)) has a Hausdorff near compactification \((X^*,{\mathcal T})\) corresponding to each compatible EF-proximity \(\delta\) on its semi-regularization \((X,\tau_ s)\). Furthermore, \(X^*\) is the space of all clusters (X,\(\delta\)) and \({\mathcal T}\) is the A-topology on \(X^*\) induced by \(\tau\). The authors show how to extend Taimanov's Theorem to almost continuous functions.