  For a given density matrix $\rho$ of a bipartite quantum system an
asymptotical separability criterion is suggested. Using the continuous ensemble
method, a sequence of separable density matrices is built which converges to
$\rho$ if and only if $\rho$ is separable. The convergence speed is evaluated
and for any given tolerance parameter $\kappa$ an iterative procedure is
suggested which decides in finite number of steps if there exists a separable
density matrix $\rho_\kappa$ which differs from the matrix $\rho$ by at most
$\kappa$.
