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By means of a minimax argument, we prove the existence of at least one heteroclinic solution to a scalar equation of the kind $\ddot x=a(t)V'(x)$, where $V$ is a double well potential, $0< l\le a(t)\le L$, $a(t)\to l$ as $|t|\to\infty$ and the ratio $L/l$ is suitably bounded from above.

On the existence of heteroclinic trajectories for asymptotically autonomous equations