Alcubierre was born in Uncastillo in 1901 and moved to Barcelona during her childhood with her parents.

In 1921, she received the lead role in her first film, a western called, Lilian.

[1] She acted for director Ricardo de Baños [es], as Doña Inés in the production of Don Juan Tenorio in 1922.

Her performance as María del Pilar, a "representation of the pain and heart heat" was praised.

In 1926, she played a role in La malcasada, which discussed the then-controversial subject of divorce.