libria of polytropic magnetized and/or rotating neutron stars (NSs) using the extended conformally flat condition (XCFC) for the metric, in spherical coordinates. This is based on the metric module and the routines developed for the X-ECHO code for GRMHD in dynamical spacetimes (Bucciantini &amp; Del Zanna 2011), which in turn is an upgrade of the Eulerian conservative high-order code (ECHO Del Zanna et al. 2007) for GRMHD in a static background metric (the so-called Cowling approximation). Like ECHO and X-