  We study the effect of nonlocality on the collapse properties of a
self-focusing Nonlinear Schr\"odinger system related to Bose-Einstein
condensation problems.
  Using a combination of moment techniques, time dependent variational methods
and numerical simulations we present evidences in support of the hypothesis
that nonlocal attractively interacting condensates cannot collapse when the
dominant interaction term is due to finite range interactions. Instead there
apppear oscillations of the wave packet with a localized component whose size
is of the order of the range of interactions.
  We discuss the implications of the results to collapse phenomena in negative
scattering length Bose-Einstein condensates.
