Remove taste of lubricant grease from coffee machine?

I recently had my LaPavoni Europicola machine serviced. It needed all it's seals replaced and the technician also greased several of the metal pieces in the milk-frothing mechanism. Problem is, now everything that comes out of the machine (water, coffee, milk) smells and tastes like lubricating grease! The machine was serviced by a reputable specialist, so they presumably used food-grade grease (which I thought was supposed to be odourless and tasteless). I've rinsed the machine through with several full cisterns of water, but the nasty taste and smell remains. Any suggestions? (also posted in household maintenance and repairs)