Chances are a car of this age will have lost some of its structural rigidity over time, due to the stresses envolved in ordinary driving.
The cheapest way to gain some of that back is to seam weld the main stress points, front suspension, floor pans, rear chassis rails and sills being the most accesable areas. After that, roof to pillar joints rear panel, front panel etc.
It all depends however on your suspension. The more you stiffen a chassis, the more stress you shift onto suspension components. It all has to work in harmony. It's a fine balance, that's why companies spend so much on cad and r&d to maximise handling at minimum cost.
Thankfully for you, I don't think overall handling was the main concern when fiat made the cinq, their budget just wouldn't have allowed it. So there is room for improvement.
I don't like bolt on bracing myself, anything that bolts on will still have a small amount of play, due to tolerances nessesary to be able to fit the component. You could copy the braces and weld them in, hydraulic presses are handy to lever the sections apart to provide pre-tension.
But however much you brace, you must spend as much time and effort on the suspension. Loose as much unsprung weight as possible to allow the suspension to respond quicker to road imperfections, because by stiffening you have taken away some of the secondary flex nessesary to keep all tyres in contact with the Tarmac. Loose a couple of psi out the tyres to help with this also.
Imagine the car in a turn, the front will load up on side and compress the suspension, the chassis will flex slightly also. Pushing the strut up and in toward the centre. If this flex wasn't there, the body would remain solid and the suspension would in turn have to compress slightly more. As the strut moves up and in slightly, it maintains more of its original geometry keeping the wheel more upright rather than allowing it to tip over onto positive camber.