Coffee machine blocked

Hi
Sounds like you have a block in the steam wand
Use a small needle to clean the tip

I fixed the same issue by pushing in the water knob "in" towards the machine. Machine than primes normally as the water flow is restored and it resets itself.

Sounds like the steam wand is getting blocked some where either at the metal end or in the parnello wand if you machine has one at the end of the steam wand, if both of those are clean then try this push in on the steam knob if that works then tap rod assemble or steam valve needs to be replaced, make sure to ask about the stainless steel valve instead of the plastic one.

For the steam check the end of the nozzle to make sure it is not blocked.
For the coffee run a coffee using the pre ground method but without coffee grounds, if water comes out then grinder is too fine, if no water remove brew unit and clean top shower screen, you might have to clean tube leaving from shower to discharge.

It seems that your problem is the one mention second that no water come out for coffee. So every time you try to make coffee the boiler is overflow and you have more water from steam tap.
So you have to clean the coffee shower on coffee group head since this might be blocked by dry coffee. Also the coffee solenoid valve could be also blocked from dry coffee and it can be removed and cleaned with a wire brush. It can be also be damage and most posible the solenoid coil burn out so you might need a new solenoid. So I beleive if you solve the coffee group blocked problem then you might have solve also the steam problem,
Good Luck
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A paperclip is the right size.
Ensure the frother is not blocked.
There are cleaning brushes available from coffee supply shops

Had the same problem. I sealed my lips around the steam wand and sucked as hard as I could, first with open steam knob, then with closed. Obviously there was some air left inside from steaming before. Machine worked fine afterwards.

Check the screen on the brew unit, it might be blocked. If the brew unit is cleaned and the problem is still happening then the steam valve needs to be rebuilt because the pins are allowing the water pressure to pass through.

Sounds like the boiler is blocked, and machine needs to be descaled. Try this first remove the parnello if your machine has one on the steam wand then using a paperclip clear out the end of the wand, that might be blocked. If it isn't then run the descale to clear out the blockage in the boiler.

Well, I have little exposure to Saeco, but a lot to commercial coffee machines.
Saeco have a lot of custom made components, although these can be purchased, nothing is cheap! Neither is their repair service!
First, is the boiler heating?? If so:
No hot water/ no steam suggests a blockage. Assuming you can hear the pump working when attempting to do a coffee, you will probably find the water flowing back into the water tank via the relief valve. Of course, this valve itself could be the problem, or the pump failing to work through a blocked inlet filter or other problem.
Look now at the group head. Ever cleaned it? The filter and spray block should be removable, do so and clean them carefully. While you have them out, see whether water reaches the head by "making a coffee" into a cup placed under the head. BE CAREFUL OF SCALDING. If water now flows, cleaning the screen and spray block should restore operation.
Beyond that, it's inside the machine! There is a 3- way valve that operates when making a coffee. This can become clogged with coffee. There is another valve to open the steam.
If, like Saecos I have worked on, the boiler does both the hot water and the steam one at a time, look for problems BEFORE the boiler.
Hoe this helps a little....