I thought this was topical, given the weather...
Mk1 Fabia uses a circuitboard mounted relay to drive the wipers, which is great when it is working, but a little unfortunate when it wears out. The circuit board in question is in the Onboard Supply Control Unit, physically located above the accelerator pedal in RHD cars, clutch pedal in LHD (I guess). It tends to be known as the BCM (Body Control Module) in later cars, and is not the same as the Central Convenience Module (which does locks and stuff).
The relay can be replaced, but must be unsoldered from the circuit board without damaging anything. I used hot air to do so, at work on my first try with a small, very expensive hot air gun.
Later, at home on another, with a much cheaper more domestic hot air gun like you'd get from B&Q for paintstripping etc. Obviously, you need to get the local area of the board hot enough to melt the 10 solder joints, but not so hot as to catch fire or melt anything else too much. Not trivial, but not too hard.
Here are pics of the location of the relay and one of it removed, the ten pin holes cleared out with a 'solder sucker' and/or 'solder wick', and the extracted relay to show part number etc. I found these available on ebay from Poland I think, not too much <£5 each.
You're going to want to rule out all other possibilities first, like fuses, linkage issues, wiper motor etc.
By the way, if you use the intermittent wiper setting, it wears this relay hugely faster than when on the constant setting. Every time the wiper starts a back and forth sweep, and finishes it, this relay has to switch on and off. When on continuous mode, it just operates when you first switch on, and when you finally switch off. Relays mainly wear out by the contacts getting pitted during opening/closing operations, rather than by hours spent in the energised state.
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I need to credit Briskoda member @anewman for supplying me with a known bad unit, in order to test my idea that relay replacement would fix it. He now has it back and may have it available for sale if anyone needs one...