  We present local and nonlocal electrical transport measurements of the
correlated insulator FeSb$_2$. By employing wiring configurations that
delineate between bulk- and surface-dominated conduction, we reveal the
formation of a metallic surface state in FeSb$_2$ for temperatures $\lessapprox
5$~K. This result is corroborated by an angular rotation study of this
material's magnetotransport, which also shows signatures of the transition from
bulk- to surface-dominated conduction over the same temperature interval as the
local/nonlocal transport divergence. Notable similarities with the topological
Kondo insulator candidate SmB$_6$ are discussed.
