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