Nice bike! I have a Coppi that is from a few years later, but it got quite rusty when I lived in Hermosa Beach CA, so I had it repainted. That was probably a big mistake.
Mine had Nervar cotterless cranks, and has Columbus tubing. The model was "Campionissimo", which was the top-of-the-line Coppi model, I think. Mine had Unversal centerpulls, Campy NR deraillers front and rear, and a few other Campy bits.
I agree with the others, you should definitely try to keep this bike as original as possible.