Leaking from the slot in the bellhousing - classic case of the sump gasket gone. Take the front bit of the bellhousing off (four 13mm bolts going up into the block and about 4 torx bolts going in from the gearbox bekkhousing) and clean it up in there. Shine a torch up there and you will probably see the sump gasket has been forced out.
I did my 320i on Friday that was so bad, it leaked oil when the engine wasn't running but was jacked up at the front. It was absolutely pissing out.
Fixed that and then the fan went through the radiator (engine mount), cutting two large holes in it and dumping the coolant.
Fitting another rad soon to see if the head's buggered...........
Anyway, tell the garage it's more likely to the the sump gasket at the back.