The question, as others have pointed out, depends on the nature of the Axis victory; the extent of the victory and the means of winning it.
Franco had asked for Gibraltar, French Morocco and half of Algeria as his price for entry into the war.
Mussolini wanted Nice, Corsica, Tunisia and French Somaliland (Djibouti).
Laval and Darlan were busy ingratiating themselves to Hitler as much as possible to strengthen France’s position in the New European Order and in the hope that Hitler would protect the French Empire against poaching by the other Fascist powers as well as that of Great Britain. Laval had hoped that France’s position in the New Europe would be second only to Germany’s.
All questions of such that I am most eager to hear. It would be very useful to know every take and every changed thoughts from the periods of time.
Franco and various Falangists also were talking about French Congo, French Cameroons, Portugal, and some of the old colonies in the Carribean. Not sure what they thought would happen to Portugal's colonies. They likely would have also liked to move the northern border up a bit, grabbing the last of the Catalans and Basques, along with everything inbetween. The demand for over a hundred thousand bushles of wheat, a fair deal of oil, and the refusal to consider a permant cession of their islands(be it the Canaries or off the coast of Kamerun), and their constaant nagging got on the nerves of the Germans, though it is only one sourse I found that from. I know that the Spanish wanted ORan and some more of Algeria, but who exactly wanted half of it? Would it be connected to the claims of Greater Morocco.
Hitler also wanted British Somaliland, Malta, the Italian speaaking part of Switzerland, and perhaps the Balerics(depending on the yeaar). He also apparently was making suggestions of invading Algeria, Egypt, and Sudan. I really should try getting that "What he Wanted, What he would Give" Series another go.
Laval was of course mistaken, as Hitler intended to annex everything in France that used to be in the HRE, with the toyed but forgoted ide of Gaus in Normandy and Brittany.