Off point but related. It appears that in February 1943 Goering may have wanted to produce the Fiat 55 as a replacement for the 109.
G55 - Aircraft History
Transcript from the German official BA-MA archives courtesy of Civettone:
Milch: ... Perhaps Petersen can inform us on this question and also about the comparison flights in Italy.
Petersen: ... There will be a further report about comparison flights with all the Italian types ... Against this, the Italian fighter is equal to the German fighter, especially as regards rate of climb. They are also superior in armament. The Fiat 55 aircraft has four cannon and a performance similar to that of the German aircraft, although powered by an engine that
is a hundred horsepower less.
Peltz: Were they series or experimental aircraft?
Petersen: There is an experimental series of ten aircraft, but these trials concerned new aircraft that had been 'titivated up'.
Goering: I'm glad that the Italians at long last have produced a respectable fighter. And I can only say; let them build them to capacity.
Milch: We also should do something in that sphere. It is indeed a disgrace to our own industry.
Goering: The Italians have never built inferior aircraft and have always been competent in the construction of aircraft and engines. I remember the Fiat and Alfa. They have also held the world speed record. The ability of the Italian aircraft industry has always been of the best. They are unable to mass produce however, and there we must help them. We can consider ourselves lucky, if they have produced a good fighter aircraft. It's one in the eye for our own people anyway.
Petersen: We must attend to this at once. The airframe of the Fiat G 55 can accommodate the DB 603 engine, while the Me 109 is unable to do so any longer. The G 55 with the DB 603 would be an ideal fighter aircraft.
Galland: From our experience the Italians have always forgotten something in their fighter aircraft, either the armour or guns.
Goering: It's to be hoped however that for the purposes of these comparison flights, they've been informed about this, otherwise it's a waste of time.
Petersen: The fighter specialist has flown the aircraft. With the exception of the radio it carried complete equipment, and fuel for one and a half hours, whereas we carried fuel for only one hour. We can't ignore the fact that the Italian aircraft has a performance equal to that of our latest types.
Milch: Then please obtain three Italian aircraft at once, and fly them here, in Rechlin. I would have the DB 603 installed in these aircraft that we have been discussing this morning. It would mean a considerable advance towards the Me 209. I can't imagine the FW 190 with the BMW 801 engine as it is today being sufficient for the next two and half years. [sic!] Especially as we don't know what the English and the Americans are building.
...
Goering: I'm also in favour of the proposal. However I consider it more than likely that the English will effect an improvement with their own types. I would like to ask what is our best means of improving our fighters other than the jet propulsion business?
Milch: The Me 209 and especially its engine. ...
...
Goering: If the Italian aircraft is good, then we won't deny the fact, and we'll mass produce them here. We don't want any false pride.
Milch: Thereby we could advance a year.
Galland: And it would also do our designers good.
Goering: On top of that perhaps we could include the Italian pilots as well, in our complete programme. Anyway I'm very pleased to hear this about the Italians.