Having one of these myself, I can agree, it's a very simple machine (not as simple as my Gaggia Factory!

). I'd suspect EITHER one (or more) of the thermostats (there's 3 attached to the boiler, a 95c, 127c and 175c. The 95c one is the brew thermostat, the 127c is the steaming thermostat and the 175c is the "OMG, something's wrong I better stop this thing from catching fire!" safety overtemp thermostat), or, as others have mentioned, what's more likely, the heating element has gone bye-bye. This ALL assumes that the problem is a lack of heating, NOT "the pump has quit running". I don't BELIEVE there are any fuses or fused links in the system (but haven't done an extensive check). Parts Guru shows an extensive list of parts (
http://www.partsguru.com and select "Espresso Parts" from the left site menu, then Saeco Home Models, then "Barista Rio Vapore" from the selection). I'd check with them (or even the folk @ Espresso Parts NW,
http://www.espressoparts.com. They have SOME Saeco/Barista parts, including the heating element, etc..).
Steve C.
I'm having an out of coffee experience!
LMWDP # 164