AX J1745.6-2901 is a high-inclination ( eclipsing ) transient neutron star ( NS ) Low Mass X-ray Binary ( LMXB ) showcasing intense ionised Fe K absorption . We present here the analysis of 11 XMM-Newton  and 15 NuSTAR  new data-sets ( obtained between 2013-2016 ) , therefore tripling the number of observations of AX J1745.6-2901 in outburst . Thanks to simultaneous XMM-Newton  and NuSTAR  spectra , we greatly improve on the fitting of the X-ray continuum . During the soft state the emission can be described by a disk black body ( kT \sim 1.1 - 1.2  keV and inner disc radius r _ { DBB } \sim 14  km ) , plus hot ( kT \sim 2.2 - 3.0  keV ) black body radiation with a small emitting radius ( r _ { BB } \sim 0.5 - 0.8  km ) likely associated with the boundary layer or NS surface , plus a faint Comptonisation component . Imprinted on the spectra are clear absorption features created by both neutral and ionised matter . Additionally , positive residuals suggestive of an emission Fe K \alpha disc line and consistent with relativistic ionised reflection are present during the soft state , while such residuals are not significant during the hard state . The hard state spectra are characterised by a hard ( \Gamma \sim 1.9 - 2.1 ) power law , showing no evidence for a high energy cut off ( kT _ { e } > 60 - 140  keV ) and implying a small optical depth ( \tau < 1.6 ) . The new observations confirm the previously witnessed trend of exhibiting strong Fe K absorption in the soft state , that significantly weakens during the hard state . Optical ( GROND ) and radio ( GMRT ) observations suggest for AX J1745.6-2901 a standard broad band SED as typically observed in accreting neutron stars .