The name Amaia is a girl's name meaning "high place or end". Amaia and is often added to lists like Cool Girl Names From Around the World and discussed in our forums with posts like "Names on NB that make you go WOW!".
From the experts:
This pretty and uncommon Basque name is all but unheard of in this country. Amaya is a spelling variation as well as a similar Japanese name meaning "night rain." With the newfound popularity of Amara and Amora, Amaia and Amaya are among the Spanish names for girls we'll be hearing a lot more of in the US.