I would check the gas tank and see if it has sediment clogging the wire screen at the pickup. You can remove the sender unit and look inside the tank with a flashlight to see if it is clean. You might have to remove the gas tank and have it boiled out and sealed. Be sure if you have it sealed to remove the plug in the bottom to remove the screen. Check the filters at the carburetors to see if they are clogged. Some junk does get by the filter/pressure regulator if the filter hasn't been cleaned in a long time. Changed out the filter in the regulator? You might also have a weak fuel pump as with time, the diaphragm gets hard and won't pump alot of fuel.
Since the Veloce has the mounting fixture behind the right rear wheel you might want to consider installing a Bendix electric fuel pump.
My 65 Veloce never stalled on me for vapor lock when I was living in the San Juaquin Valley...temps reaching over 100.
Check these items and report back.
