This work studies orbital circularization of binary stars past the Main Sequence using two new samples of eclipsing binary stars found in the Magellanic Clouds by the MACHO Project, as well as samples introduced by the OGLE-II project and finds strong evidence of orbit circularization past the Main Sequence phase of stellar evolution, by the almost complete absence of systems with eccentric orbits in the Red Giant part of the Color Magnitude Diagram whereas the Main Sequence exhibits systems with a broad range of eccentricities. This absence allows to robustly conclude that binary stars...