  We consider a bistable ($0\textless{}\theta\textless{}1$ being the three
constant steady states) delayed reaction diffusion equation, which serves as a
model in population dynamics. The problem does not admit any comparison
principle. This prevents the use of classical technics and, as a consequence,
it is far from obvious to understand the behaviour of a possible travelling
wave in $+\infty$. Combining refined {\it a priori} estimates and a Leray
Schauder topological degree argument, we construct a travelling wave connecting
0 in $-\infty$ to \lq\lq something" which is strictly above the unstable
equilibrium $\theta$ in $+\infty$. Furthemore, we present situations
(additional bound on the nonlinearity or small delay) where the wave converges
to 1 in $+\infty$, whereas the wave is shown to oscillate around 1 in $+\infty$
when, typically, the delay is large.
