His technique is defined by a systematic use of line to mimic the physical properties of stone and metal. In works like The Forge of Vulcan and his various bas-relief studies, he used cross-hatching to create a sense of weight and three-dimensional volume. He often collaborated with leading Roman painters, turning their fluid brushwork into precise, structured prints. This process required a deep understanding of light and shadow. He represented the glow of a forge or the cold surface of a marble relief using only black ink on paper.

Modern collectors value Greuter for the architectural clarity of his compositions. His prints provide a window into the Roman Baroque period without the overwhelming ornamentation often found in paintings of that era. The monochromatic nature of his work allows the viewer to focus on the balance of the figures and the strength of the draughtsmanship. These pieces suit contemporary interiors. They offer a sense of historical weight and classical proportion while maintaining a clean, graphic aesthetic.