Please accept this as a minor correction, not a criticism.
You are not talking about amperes (amps), the values you are talking about are volts.
"
When the car is off, battery charged, battery reading is 12.92Amps (does not decline overnight). "
Amps or amperes is the flow of current and is only present when there is a load such as a light bulb or motor that is using electricity. If with the engine turned off you were measuring a current flow of 12.9 amps (enough to run the headlights and perhaps the ventilation fan) your battery would be dead by morning.
Voltage is the "push" or force to move the electricity. Your values of 12.9 volts and 13.1 volts do indicate a problem. Basically it is saying that your alternator is not working. Start as Tony suggested by checking all your earth connections. Remove the earth cables where they contact the car and engine and give the cables and the surface they mate with a good cleaning. This includes where the cables attach in the boot as well.
Again, I don't understand your reference to an external alternator diode so I can't really comment about what's going on. A quick Google of "A127 alternator" resulted in this site:
http://forums.lr4x4....mp;#entry139878The back of the alternator should look like this:
http://www.minimania...ig/gxe2297a.jpgI'm not sure why you have an external diode pack on your car's wiring. What year is your car? based on the picture above, you should be able to just plug the old alternator 3-pin plug directly into the A127 without any external components. You may find that your external diode is what's causing the problem.
Please download this PDF and give it a read. It will load slowly so be patient.
http://www.qxcomponents.co.uk/tech.pdfIt mentions that the A127 is internally regulated. Therefore you shouldn't need any external components. You will have two large output spade terminals and a small spade terminal for the warning light connection. That's all.