  The holographic entanglement entropy (HEE) of the minimal geometrical
deformation (MGD) procedure and extensions (EMGD), is scrutinized within the
membrane paradigm of AdS/CFT. The HEE corrections of the Schwarzschild and
Reissner--Nordstr\"om solutions, due to a finite fluid brane tension, are then
derived and discussed in the context of the MGD and the EMGD.
