We have been invited to contribute to the special session led by Jérôme Idier (IRCCyN/CNRS) and Cédric Herzet (INRIA Rennes) on the Compressed Sensing topic. We will highlight the recent results we obtained at 7 Tesla in CS-MRI based on the novel SPARKLING (Segmented Projection Algorithm for Random K-space samplING say shortly: SPARse K-space samplING) trajectories for ex-vivo T2* imaging.