At this point the British global empire was in mortal danger. And this is the point where she traded her global primacy away to the US. She begin to prepare the campaigns for taking back her position in the Southern Theater, she initiated the "pre-plow" of her diplomacy, to soften the soil for the military when the time comes. In this period England's foreign office vigorously worked on all the countries both in the area, and where she could expect a bit of help from.
The first fruit of this diplomatic work was the capture of French North Africa, then the whole shore. Sicily came, but when the turn was on Italy itself, the Anglo-Saxon military failed to exploit the chance their diplomacy secured for them. The Italian army was taken out from the war, but the Germans managed to close down the gap, kept Northern Italy under control, halted the Anglo offensive in Italy, and neutralized the possibility of another invasion on the Balkans.
Szálasi found the Anglo-Saxon mistake in not trying for Genoa, but Salerno. At Genoa the Apennines are relatively narrow and small, it would have been a great beachhead into the Po valley, and offered the possibility to break Italy away from the Alps. He also notes that historically the fate of Italy was decided in the North, the conquerors coming from the North could secure the peninsula, but those who tried from the South, they all failed to make lasting results.
Since from that point ('43. September 8) the "millimeter offensive" stuck, it couldn't play the role of the promised Second Front. However the Allies now preparing for 1944, with both their diplomacy and the military.