With you being an Italian, I would have expected you to know that grills get way to hot for olive oil. Olive oil has a very low burn point. It will smoke and turn cancerous easily. You're not supposed to fry with the stuff above 355 degrees. Hit 450 and it goes crazy. Just the air in the top of a grill can get well above 700 degrees while searing, with the grates being even hotter. Olive oil will smoke like crazy in a grill unless you always cook at very low temperatures, which, normally you wouldn't if you know what you're doing. A typical 3/4" steak normally has a recommended surface temperature of the grill of about 400 degrees. Even if you do cook at fairly low temperatures, you should warm your grill up, and often that's going to make the surface 450-550 or so.