David,
The symproms you are experiencing sound very similar to those that I experienced a couple of years ago. My Fulvia would run ok and then after the engine became warm, it would stutter and cut out. After the engine cooled, it would start ok. After replacing the spark plugs, leads, points, condensor, carb mount, fuel pump and fuel lines, I eventually found a pin sized hole in the breather pipe between the carbs. After rectifying this, I have had no more problems!