We present the abundances of volatile and refractory elements in the atmospheres of 95 solar analogs, 24 planet hosts and 71 "single" stars, to investigate its possible connection with terrestial planets, using very high-quality HARPS and UVES spectra. The whole sample of stars with and without planets show almost the same mean abundance pattern. In particular, this sample contains seven solar twins which provide very similar mean abundance ratios for both stars with and without planets. In addition, we select sub-sample of 28 solar analogs, with 14 stars with and 14 without planets, at super-solar metallicity, and again we do not find any significant difference. For this sub-sample of stars we derive the slopes of the [X/Fe] abundance ratios as a function of the condensation temperature, TC. Most of them have the opposite sign as that expected from a possible signature of terrestial planets. Two metal-rich stars of this sub-sample which host each of them a super-Earth-like planet, show an abundance pattern which would not suggest the existence of any terrestial planet. We demonstrate that these slopes get almost null values when removing the Galactic chemical evolution trends, which may indicate that any possible difference in volatile-to-refratory abundance ratios is probably not related to the presence of terrestial planets.