The explorer who voyaged to the West Indies and South America for Spain and Portugal between 1497 and 1503 was Amerigo Vespucci, an Italian navigator and cartographer. His voyages and letters led to the naming of the Americas.
Note: John Cabot (Giovanni Caboto) also explored in this period (1497–1498), but he sailed under the English flag, reaching Newfoundland and the North American mainland.