  The notion of asymptotic Fekete arrays, arrays of points in a compact set
$K\subset {\bf C}^d$ which behave asymptotically like Fekete arrays, has been
well-studied, albeit much more recently in dimensions $d>1$. Here we show that
one can allow a more flexible definition where the points in the array need not
lie in $K$. Our results, which work in the general setting of weighted
pluripotential theory, rely heavily, in the multidimensional setting, on the
ground-breaking work of Berman, Boucksom and Nystrom.
