Medium rare: 6 minutes on each side. The flavor is similar, but it is definitely more affordable and not quite as tender. To be clear, the chuck eye is not a Delmonico steak. Other Names: You may see chuck eye labeled in stores as Chuck Fillet Steak, Chuck Delmonico or Chuck Tender Steak.. How to Grill Chuck Eye Steak. Sometimes this cut is mislabeled as a Delmonico steak.

It isn’t common to see steak labeled as “chuck eye” in the market. The chuck eye steak is sometimes referred to as the poor man’s rib-eye. A typical chuck eye steak is 1-1.5 inches thick, meaning you’ll need to use both direct heat (450°F/232°C) and indirect heat (275°F/135°C) to grill it to perfection: When grilling a chuck eye steak that’s about 1.5-inch thick, use these times as your guide cooking on medium heat: Well done: 7.5 minutes on each side. Medium: 7 minutes on each side.