  We consider Einstein-Podolsky-Rosen steering in the regime where the parties
can perform collective measurements on many copies of a given shared entangled
state. We derive a simple and efficient condition for guaranteeing that an
entangled state is $k$-copy steerable. In particular we show that any two-qubit
and qubit-qutrit entangled states is $k$-copy steerable. This allows us to
discuss the effect of super-activation of steering, whereby an entangled state
that is unsteerable (i.e., admits a local hidden state model) in the one-copy
regime becomes $k$-copy steerable. We provide examples with few copies and low
dimensions. Our results give evidence that entanglement and steering could
become equivalent in the multi-copy regime.
