  The reconstruction of an inflationary universe in the context of the Galileon
model or G-model, considering as attractors the scalar spectral index $n_S(N)$
and the tensor to scalar ratio $r(N)$ as a function of the number of e-folding
$N$ is studied. By assuming a coupling of the form $G(\phi,X)=g(\phi)\,X$, we
obtain the effective potential $V$ and the coupling parameter $g$ in terms of
the cosmological parameters $n_S$ and $r$ under the slow roll approximation.
From some examples for $n_S(N)$ and $r(N)$, different results for the effective
potential $V(\phi)$ and the coupling parameter $g(\phi)$ are found.
