Compact singularities of meromorphic mappings between complex   3-dimensional manifolds
  We prove that a meromorphic map defined on the complement of a compact subset of a three-dimensional Stein manifold M and with values in a compact complex three-fold X extends to the complement of a finite set of points. If X is simply connected, then the map extends to all of M. 
Sergei Ivashkovich and Bernard Shiffman