The consistent difference between the Tiburon and the Tuscany is the emblem located at the front of the car. The Tiburon has Hyundai's stylized H logo like most Hyundai vehicles. In comparison, the Tuscany has a "T" overlaid on top of grey and black stripes and inscribed in a silver or chrome circle.
The Tiburon is the original product, while the Tuscany is just a different name for the Tiburon used in some markets. It is recognized as the Tuscani in Canada, Korea, and the Tiburon in America and everywhere else.
If you need a new car, you may want to look at different vehicles and pick the one that best suits you and your needs for a vehicle. For instance, if you travel a long distance to work every day, then you may want to find a car that gets good gas mileage.
If you have small children, then you may want to get a safe car. There may be two cars that have the same name. Hyundai has two names for the same car. Their Tiburon and their Tuscani are the same cars by the same maker, Hyundai. However, the was change at one point from Tiburon to Tuscany. Most people know it as Tiburon, but people in Canada and Korea know it as Tuscani.