We introduce the structure of a nearness on a σ-frame and construct the coreflection of the category NσFrm of nearness σ-frames to the category KRegσFrm of compact regular σ-frames. This description of the Samuel compactification of a nearness σ-frame is in analogy to the construction by Baboolal and Ori for nearness frames in [1] and that of Walters for uniform σ-frames in [11]. We also construct the uniform coreflection of a nearness σ-frame, that is, the coreflection of the category of NσFrm to the category UσFrm of uniform σ-frames.

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