<p>After having observed&#160; some absorptions around 3.3 &#956;m band in some CRISM spectra, we begun a study in the range between 3.2 and 3.4 &#956;m to exploit the high spatial resolution of CRISM spectrometer (~18 m/pixel) to look for methane or other C-H absorptions on Mars surface. Concerning methane, we were searching for high concentrations, comparable to the &#8220;methane spikes&#8221; concentrations detected by Curiosity on Mars surface and the methane plumes detected in Mars atmosphere from ground telescopes. The search for absorptions around 3.3 &#956;m was carried out fitting the spectra of selected CRISM datasets with the MGM function in the 3.2-3.4 &#956;m range. &#160;From the MGM fit we obtained a map of the absorption depths. By this depth map, aside rare, suspected, absorptions, a spectral artifact was highlighted.&#160; Therefore, we chose to consider spectra with absorptions around 3.3 &#956;m not clearly related to known and unknown artifacts, and band depth values greater than 4*standard deviation of the depth map. We used the Planetary Spectrum Generator tool to find the relation between the absorption depths at 3.3 &#956;m and methane concentration. We finally discuss the rare interesting spectra both as potentially true absorptions and as a still unknown artifact.</p>