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?