This work is focused on the study of the Fermi Liquid zone, which appears at high doping (overdoped region) in the phase diagram of the high-temperature superconductors. It is generally assumed, without much study, that their behavior in this zone is like a normal metal. Nevertheless, our measurements, and data from other researchers show a different behavior. We present measurements of resistivity and Hall effect in YBaCaCuO thin films. The anomalous properties found are argued to be evidence of a non-Fermi Liquid behavior.