  The embedded Nash problem for a hypersurface in a smooth algebraic variety,
is to characterize geometrically the maximal irreducible families of arcs with
fixed order of contact along the hypersurface. We show that divisors on minimal
models of the pair contribute with such families. We solve the problem for
unibranch plane curve germs, in terms of the resolution graph. These are
embedded analogs of known results for the classical Nash problem on singular
varieties.
