The name Amaia has its origins in the Basque language, spoken primarily in the Basque Country, a region straddling northern Spain and southern France. Its earliest usage can be traced back to the Middle Ages, though its precise etymology is uncertain.

One theory suggests that Amaia derives from the Basque word 'amai,' meaning 'end' or 'finish,' possibly signifying a sense of completion or finality. Another hypothesis links it to the Basque word 'amaitu,' meaning 'to finish' or 'to complete.' These connections could imply a symbolic association with perseverance or the achievement of goals.

Amaia may also have ties to the Basque word 'amaia,' which translates to 'grandmother' or 'matriarch.' In this context, the name could hold connotations of wisdom, nurturing, and reverence for elders and familial bonds.

Historically, the name Amaia gained prominence in the 11th century, when it was borne by Amaia de Butrón, a noble Basque woman who played a significant role in the region's political and cultural affairs. Her influence helped popularize the name among the Basque aristocracy and commoners alike.

In the 13th century, Amaia de Guevara, a prominent figure in the Basque County, was renowned for her literary contributions and patronage of the arts. Her legacy further solidified the name's association with cultural and intellectual pursuits.

Other notable bearers of the name throughout history include Amaia Montero, a Spanish singer-songwriter born in 1976, known for her work with the band La Oreja de Van Gogh. Amaia Salamanca, born in 1986, is a Spanish actress renowned for her roles in television series and films.

In the realm of sports, Amaia Osaba Olazabal, born in 1978, is a former professional basketball player who represented the Spanish national team and achieved success in both domestic and international competitions.

The name Amaia has also been carried by historical figures such as Amaia Arrazola, a 16th-century Basque poet and feminist, and Amaia Gorostiaga, a 19th-century Basque writer and educator who advocated for women's rights and education.