  We obtain new examples of non-symmetric Einstein solvmanifolds by combining
two techniques.
  In \cite{T2}, H. Tamaru constructs new {\em attached} solvmanifolds, which
are submanifolds of the solvmanifolds corresponding to noncompact symmetric
spaces, endowed with a natural metric. Extending this construction, we apply it
to {\em associated} solvmanifolds, described in \cite{GK}, obtained by
modifying the algebraic structure of the solvable Lie algebras corresponding to
noncompact symmetric spaces. Our new examples are Einstein solvmanifolds with
nilradicals of high nilpotency, which are geometrically distinct from
noncompact symmetric spaces and their submanifolds.
