fighting with a messer and a "hungarian shield" (Gladiatoriafechtbuch fol. 55r, mid 15th century)
A grosses messer (meaning great knife, also called langmesser or hiebmesser) was a type of German single-edged weapon, similar to a falchion, that was used between the 15th and 16th centuries. grosses messer, or simply messer was the term used in the 15th century, and the weapon's 16th century continuant was called dussack. Much less expensive than an actual sword, it was the weapon of the common man. Used for menial work in addition to battle, the hiebmesser sported a short, deep blade with a single curved edge that lead to a clipped-back tip (like a kilij). The tip is pointed, though its use for thrusting in combat is questionable. Its hilt looked very much like that of a bastard-sword with a cross upper-guard. Quite notable in it's construction was the attachment of blade to hilt via a slab tang sandwiched between two wooden grips and pegged into place. Also of note is that many pommels were 'drawn out' or leaned to one side of the hilt (edge side); this is called a hat shaped pommel. Extant examples seem to be 40-46 inches in length (31 of which is in blade) and between 2.5 and 3 pounds. Used in also by the Swiss this sword was later modified and gave arise to a basket-hilted Swiss sword.
One such example of a weapon evolved to specialization is the GrosseMesser (meaning "great knife"), a single-edged sword sharing characteristics with both the falchion and the saber.
Not having a specific example to cite, I think it's fair to guess that, based on the blade shape, overall size of the piece, and the existence of a sole side ring, Cold Steel is trying to represent something from the late 15th century.
The Cold Steel GrosseMesser certainly is not a finesse cutter, however, as its heavy weight prevents it from being very responsive to anything but a fully committed cut.