Why should the Spanish have all the fun? Other European Nations started exploring to the west to rediscover the lands in that direction. The passage to the orient would be the prize.
The map below is the Cantino map is named for Alberto Cantino, an Italian diplomatic agent in Lisbon who obtained it in 1502 for the Duke of Ferrara was based on four voyages of Columbus to the Caribbean, Pedro Alvarez Cabral to Brazil, Vasco de Gama followed by Cabral to eastern Africa and India and the brothers Cortreal to Greenland and Newfoundland. Except for Columbus all sailed under the Portuguese flag.