HI Static Source. FCL FI.910 states "in the following cases" If it's not in that case I would read you can do it, if qualified. The text changed greatly from the CAA regulations I believe.(a) An FI shall have his or her privileges limited to conducting flight instruction under the supervision of an FI for the same category of aircraft nominated by the DTO or the ATO for this purpose, in the following cases:
(1) for the issue of the PPL, SPL, BPL and LAPL;
(2) in all integrated courses at PPL level, in case of aeroplanes and helicopters;
(3) for class and type ratings for single-pilot, single-engine aircraft, except for single-pilot high performance complex aeroplanes, class and group extensions in the case of balloons and class extensions in the case of sailplanes;
(4) for the night, towing or aerobatic ratings.
No where does it state you cant add IRI or CRI M/E privileges .