Hello.
In my case, when the E05 error appeared in Saeco Exprelia, the reason was the heater clogged with limescale from the water.
After the fact, I know that it would be enough to remove only the back cover to get to the heater. In a working heater, it was possible to insert the probe in the form of a hex key, about 10cm long, deep into the heater's supply hole with water from the pump. It was also possible to blow the heater and rinse it with water, but in a clogged one it was out of the question. In the service manual, to the aforementioned heater connector, a tube with the number 26 is attached, as marked in table 6/9.
Having a choice to buy a new heater for PLN 110 + shipping or try to repair and possibly buy a new heater, I took a 3mm drill and started drilling delicately. When I saw a stone deposited from water on the drill, I drilled bolder until the drill "fell".
After folding, the water circuit became blocked and the heater is still functional and the message / error E05 does not appear. The repair cost about PLN 5, because I put new clamps on the water pipes. I bought them at an auto parts store.
I would like to add that the first signs before the E05 error appeared were problems with milk foaming.
I attach photos of the heater that I was repairing.
Added after 27 [minutes]: For people trying to disassemble the Saeco Exprelia type HD8856 / 09, I will suggest that first you need to unscrew the back cover, which is well described in the service manual (I found only the English version), then you need to disassemble the upper part of the housing, which the manual did not mention. I am attaching photos showing where the latches blocking the disassembly of the top were located, even though I unscrewed the screws holding the top casing (4 pcs.). Undoing the four latches holding the top was an acrobatics for me.
After removing the top, two screws were exposed, located in the front upper part of the coffee machine on the left and right side.
I greet the designers of the device, because they THOUGHT what to do so that it would not be easy for us to get inside. These screws, covered with the upper case, could be left on top, leaving the holes for unscrewing them, and inserting the plugs.
Disassembly would then be much easier. Moreover, even the service manual did not mention these two screws.