Italian Greyhound Dog Photos. Playful and intelligent, the Italian Greyhound is generally easy to train and prefers to spend most of his time with his owner. They like attention and affection, and are a peaceful, gentle friend to adults and children. Italian Greyhounds are an active breed that loves to run and play and requires daily walks. Their small size makes them ideal for an apartment and his short, smooth as satin coat makes him one of the easiest breeds to groom.