  The direct CP asymmetry in the untagged inclusive channel B -> X_(s+d) gamma
provides a strict test of the standard model. It has been shown beyond the
partonic level that this asymmetry is negligibly small thanks to U-spin
relations and to the unitarity of the CKM matrix. In the present paper we
investigate this relation beyond the SM; in particular, we analyse to which
extent deviations from this prediction are possible in supersymmetric
scenarios. We analyse the minimal flavour violation scenario, including
tan(beta) enhanced terms and using the complete two-loop renormalization group
running. Our analysis fully takes into account also the EDM constraints on the
supersymmetric phases. We investigate possible correlations between the tagged
and the untagged CP asymmetries and the indirect sensitivity of the latter to
the B -> X_d gamma CP asymmetry.
  Furthermore, we derive general model-independent formulae for the branching
ratios and CP asymmetries for the inclusive B -> X_d gamma and B -> X_s gamma
modes, and update the corresponding SM predictions.
