In this paper, we investigate the reducibility property of semidirect products of the form V * D relatively to (pointlike) systems of equations of the form x 1 = · · · = x n , where D denotes the pseudovariety of definite semigroups. We establish a connection between pointlike reducibility of V * D and the pointlike reducibility of the pseudovariety V. In particular, for the canonical signature κ consisting of the multiplication and the (ω − 1)power, we show that V * D is pointlike κ-reducible when V is pointlike κ-reducible.