The term 'Greek Wrap' is a popular food item that consists of a wrap filled with various ingredients such as meat, vegetables, and sauces. The wrap is usually served in a pita bread or flatbread. The term 'Greek Wrap' can also refer to the popular Greek dish Gyro, which is a wrap filled with spiced meat, tomatoes, onions, and tzatziki sauce. Gyro is typically served in a pita bread or flatbread.