  We study the existence and stability of cosmological scaling solutions of a
non-minimally coupled scalar field evolving in either an exponential or inverse
power law potential. We show that for inverse power law potentials there exist
scaling solutions the stability of which does not depend on the coupling
constant $\xi$. We then study the more involved case of exponential potentials
and show that the scalar field will assymptotically behaves as a barotropic
fluid when $\xi\ll 1$. The general case $\xi\not\ll 1$ is then discussed an we
illustrate these results by some numerical examples.
