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Para-Ricci-like solitons with arbitrary potential on para-Sasaki-likeRiemannian $\Pi$-manifolds are introduced and studied. For the studied soliton,it is proved that its Ricci tensor is a constant multiple of the verticalcomponent of both metrics. Thus, the corresponding scalar curvatures of bothconsidered metrics are equal and constant. An explicit example of the Lie groupas the manifold under study is presented.

Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian $\Pi$-manifolds