Dovunque is Italian for "anywhere" signifying that the vehicle is capable of travelling cross-country, "35" refers to the year of production.

Its main role was for towing light artillery, but numerous other special versions were also built.

After the Armistice of Cassibile, the production of the vehicle also continued under the control of the Germans with 307 units, for the Wehrmacht.

The improvements chiefly concerned the motorization, with the replacement of the original 122B 46 hp engine with the more powerful Fiat SPA-18T gasoline 4-cylinder 4053 cc, disbursing 55 hp at 2000 rpm, giving a road speed of 60 kilometres per hour (37 mph).

The wooden banks in the trailer are closed, unlike the Dovunque 33 where they were at spaced axes.