  The static and spherically symmetric solutions in $n(\ge 4)$-dimensional
Einstein-phantom-scalar system fall into three family: (i) the Fisher solution,
(ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We
exploit these solutions as seed to generate a bunch of corresponding
asymptotically (A)dS spacetimes, at the price of introducing the potential of
the scalar field. Despite that the potentials are different for each solution,
each potential is expressed in terms of the superpotential as in supergravity.
We discuss the global structure of these solutions in detail and spell out the
domain of parameters under which each solution represents a black
hole/wormhole. The Ellis-Bronnikov class of solutions presents novel examples
of spherical traversable wormholes that interpolate two different (A)dS
critical points of the (super)potential.
