While editing this previously I learned a bit about basketball (and perhaps other sports') championship games. In Greek "Το κύπελλο μπάσετ" can refer to the cup/trophy awarded but it also can refer to the game or games to determine who will receive the "cup".. For that reason we also include "the basketball championship" and "...championship game."
So, if I'm not getting it wrong, it would be like the Spanish copa, which can mean both the trophy and the championship (obviously, in a sport context. It also has more meanings, as the one mentioned in a comment below). If you see on the news something about la copa del Rey can mean both the trophy ("el Atleti ha ganado la copa del Rey" = "Atlético de Madrid won the King's Cup") or the championship itself ("este fin de semana hay copa del rey" = "this weekend there is a match of the King's cup").
Believe me I know nothing about these events in any language and did a good deal of research 2 years ago while editing this course. "Cup" is the word of choice here. I'm glad I learned even that little; you should learn to embrace the new things you learn from an international channel.