  A simple partial wave amplitude analysis of $\overline{p}p \rightarrow \pi^-
\pi^+$ has been performed for data in the range p$_{\sl lab}$ = 360 -- 1000
MeV/c. Remarkably few partial waves are required to fit the data, while the
number of required $J$ values barely changes over this energy range. However,
the resulting set of partial wave amplitudes is not unique. We discuss possible
measurements with polarized beam and target which will severely restrict and
help resolve the present analysis ambiguities. New data from the reaction
$\overline{p}p \rightarrow \pi^0 \pi^0$ alone, are insufficient for that
purpose.
