[Laurent Rizzotti]

Lufwaffe losses summary database has for this day for units fighting in Italy the following losses:
I./J.G.4: 1 aircraft destroyed by gunfire from enemy aircraft during operational flight, observed by enemy (Report date: 31/01/1944)
III./J.G.53: 1 aircraft damaged by gunfire from enemy aircraft during operational flight, not observed by enemy (Report date: 06/02/1944)
II./J.G.77: 1 aircraft destroyed by anti-aircraft artillery during operational flight and 3 aircraft destroyed by gunfire from enemy aircraft during operational flight, observed by enemy (Report date: 01/02/1944)

So only one German fighter was reported damaged. But damaged below 10% will not appear in this source. II./SG 4 is covered by the above database (12 aircraft destroyed and 4 damaged) but shows no loss on 27th, so Bunge's aircraft was either not badly damaged, or is missing from reports.