This bike strikes me as it was originally an R900 that got modified (due to a weld crack at the stay junction?) and possibly had a different diameter head tube (HT) welded to it which could be the cause for the missing C logo on it. Might have been involved in a serious crash that ended up damaging the original fork.
The saddle, seatpost, collar, headset, stem and bar are all aftermarket as is the Time fork. Question is whether the ID of the HT is 37 mm or whether it is narrower to accommodate a 1-1/8” steerer. The wheels would indicate if it was an R900 or R2000 with the former having Ultegra hubs and the latter Dura-Ace hubs.
The rest of the bike, except for the crankset (also possibly damaged?), seems to be Ultegra so that’s why a re-painted R900 strikes me as more likely. The colour scheme is also inline with the Team Saeco colours of Mario Cipollini and co of the time. Cipollini was a very flamboyant Italian racer of the time.
If the frame is aligned and in good shape, I’d definitely consider cleaning it up and giving it a good fresh paint job. Whether you want to keep the original components or not, that’s a personal preference but know that these frames can accommodate 30C (in some cases, 32) tires on wide (28-30 mm) carbon rims. I only mention this because it completely transforms the way the bike rides compared to using the skinny 15 mm internal Mavic Open 4 rims and wheels. On those rims, 28C tires measure out to only 25 mm which makes it a rather harsh ride at quite high pressures.
A year ago I decided to transform my original Ultegra 600 '94 R900 into a modern vintage bike with SRAM AXS components and carbon finishing kit (fork, seatpost, saddle, stem and bars). The bike is a completely transformed experience though I have only been able to test ride it a few times due to it not being quite finished. The bike went from being a 9.5 kg ride to loosing over 2 kg. It’s now 7.4 kg with pedals, cages, bottles and computer mount all included. My bare 60 cm frame weighed 1275g so just about exactly 2.8 lbs (5g over for an XL frame) as Cannondale states.
A suggestion: please do rotate those bars forward so the shifters are not pointing to Mars and you end up riding it like a city commuter rental!
Also, get yourself some fresh brake pads. I’d recommend some SwissStop. The Shimano ones you have are terrible. Incidentally, the Shimano Ultegra components put this bike as a '95 or later. The '94 models came with “600 Tricolour” Shimano which predate your parts.
David