In a mini food processor, combine the garlic, oregano, paprika, chile powder, curry and salt and process until the garlic is chopped.
Add the vinegar and olive oil and process to a paste.
Rub the marinade onto the turkey cutlets and let stand at room temperature for at least 30 minutes or refrigerate for up to 24 hours.
Light a grill.
Scrape the marinade off of the turkey cutlets.
Brush the cutlets with vegetable oil and grill over moderately high heat, turning once, until lightly charred and cooked through, about 5 minutes total.