  In a recent paper (arXiv:1505.01475 ) Est\'elyi and Pisanski raised a
question whether there exist vertex-transitive Haar graphs that are not Cayley
graphs. In this note we construct an infinite family of trivalent Haar graphs
that are vertex-transitive but non-Cayley. The smallest example has 40 vertices
and is the well-known Kronecker cover over the dodecahedron graph $G(10,2)$,
occurring as the graph $40$ in the Foster census of connected symmetric
trivalent graphs.
