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In the present work, the microdrilling of a metal matrix composite (MMC) is performed by a combination of microelectrical discharge and electrochemical machining (the hybrid micro-ECDM process). The difficulties on machining the cohesive regions on the composite are studied through the control of machining parameters. The kerf/side gap of the holes, energetic regimes on the machined surface, and the surface texture are analyzed through optical microscope, scanning electron microscope, and energy dispersive spectroscopic images. From the observed results, it is found that the machining time increases with an increase in the discharge current and decrease in voltage. The fluctuations in material removal and the eccentricity towards the microdrill are also due to the change in current amplitude. Further, the formation of recast layer and the micropores on the machined surface are analyzed, and it is found that they are not completely eliminated but can be reduced with a change in process parameters.