We prove the following result. Let $X$ be a Baire space, $Y$  a topological space with at most countable pseudobase, $Z$ a topological space and let a mapping $f: X × Y → Z$  be horizontal somewhat continuous. Assume that the set of all points $x ∈ X$ for which the vertical $x$-section $f^x = f(x,⋅): Y → Z$ is nearly somewhat continuous, is residual in $X.$ Then $f$  is jointly nearly somewhat continuous. This theorem develops previous results on the subject of Ya.Borsik, O.Vancso and V.Maslyuchenko.

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