At the beginning of 1975, the outdated 750 was replaced with an entirely new model, the 780. At the same time, a larger 880 was introduced, while its predecessor, the 850, remained available alongside it for some time. The brand-new design immediately revealed that these new models incorporated a lot of innovative thinking. They were the first Fiats designed from the ground up to be equipped with a safety cab. The factory-installed cab, mounted on rubber cushions, was among the best on the market. The fuel tank was relocated to the rear of the tractor. The clutches had ceramic surfaces. The draft control system was also quite advanced for this size category. The brakes were oil-immersed disc brakes, and the four-wheel drive was implemented via a central axle.

The 3.7- and 4.6-liter four-cylinder engines had a basic structure familiar from the earlier 640 and 750 models but were clearly more powerful. However, they were still high-speed engines, and no torque figures were provided in the brochures. In Finland, the transmission was initially the familiar 8+2-speed from before; later, only the 12+3-speed version was offered. The 780 had synchronized gears in half of the speeds, while the 880 had synchronization in all speeds. The hydraulic pump output (26 liters per minute) was quite low.

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