Frequent systematic misindexing of electron backscatter diffraction patterns with five differently oriented pseudosymmetric solutions was observed for the cubic α-Al(Fe,M)Si phase with M = Mn, Cr encountered in secondary Al-Si casting alloy. That misindexing can be ascribed to the close structural relationship of the cubic crystal structure of α-Al(Fe,M)Si to that of the corresponding icosahedral quasicrystal. Robust identification of the correct among the five nearby solutions during automatic indexing can be achieved, which sensitively depends on the accuracy of Kikuchi-band detection applying Hough-space related indexing methods. Based on the correct crystallographic orientation solution, facets of the particles with bulk polyhedral and Chinese script morphology were determined to be {110} planes. Likewise, the habit planes of the α-Al(Fe,M)Si phase particles located at the naturally occurring oxide film are {110} planes.