Yep,
that rubber seal.
Now I got meself the Haynes manual :worship: Will come in handy that's for sure
That's a shocker. I've seen it happen once before though... and then I've seen something similar with a cam cover gasket (new gasket fitted while old one still stuck to cover).
I'm pleased it's a simple problem and that you probably caught it in time.
Incidentally, I always remove the rubber seal from the oil filter, and smear both sides lightly with oil. I like to think this helps it seat properly... I then use a towel to help with gripping the new filter, to tighten it as much as possible by hand.
On the bright side, your engine has now had a 'running flush' with clean oil, so although it seems a waste (and an ecological nightmare) it does have one advantage in that almost all of the dirty oil oil is now gone (diluted with the new and then changed again). Engines always retain about half a litre of oil even after you drain the sump.
If I'm working on an engine and the oil that drains out is really dirty, neglected oil, I will fill it with the very cheapest oil first and run it for a few minutes (doesn't have to be driven, as the engine will still be warm), then change the oil filter and finally refill with the 'proper' new oil. I feel that this method is better than adding an engine flush, since this method removes all the dirty oil (as mentioned) and cheap oils are about the same price as an engine flush anyway. You know the oil you sometimes have left over after filling? Well I save those leftovers, sometimes mixing them together, and then I use this to run the engine briefly for cleaning... you don't need the full 4L just to run the engine with the old oil filter still fitted, 2L will do. And finally, be careful with filling the FIRE since it's quite a small capacity - 3.5L if I remember correctly, not the usual 4.
Final tip/shortcut from me... it's usually best to drain the oil and change the filter with the engine hot (after a proper drive, not just around the block). BUT - some engines in other cars (not the Uno) are a PIG to get to the filter etc. because you burn yourself on the exhaust, etc. I chatted with a specialist about this and we both reached the same revolutionary conclusion - it isn't necessary for the engine to be hot to change the oil

When the engine was switched off, it was hot, so the oil drained to the sump... contaminants etc. will sink with this oil and then you drain it out of the bottom don't you... if anything you probably get a little more oil out after the engine has been sitting for some time... The oil will be slower to actually drain from the sump (because it is much thicker), but otherwise I see no reason why you couldn't change the oil with the engine cold. I still do it with the engine hot, but one day you might find a situation where it is hard to do this (not least of which, it might not be convenient at the time the engine's hot)...
PS. I agree with Andy, a year or so ago I bought three FRAM filters, one for my Alfa Romeo 164's 3L V6, one for my X1/9's 1498cc, and one for my Uno Turbo... and all three filters were the same part number! (I think it was PH4562). I decided to buy a fourth as a spare, and it was very convenient to have on hand when I decided to repair the sump gasket of my Uno Turbo one day... didn't have to make a trip to the shop...
-Alex