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Penelope Cruz, Luna

SolarPix, PacificCoastNews.com

Penélope Cruz is keeping her cutie close!

Which is understandable, of course, seeing how this is little Luna's first public appearance since entering the world a little less than three months ago.

The Oscar winner was spotted lovingly carrying her baby daughter in Madrid recently after attending a birthday party for director Pedro Almodóvar.

The Spanish city also happens to be where Cruz gave birth to her bundle of joy on July 22. The 39-year-old actress and husband Javier Bardem are also parents to 2-year-old Leo.

Last year, the brunette bombshell opened up to Harper's Bazaar about how motherhood has changed her for the better, saying, "I am living for every day and trying to have less fear, less worry."

Meanwhile, Cruz's new film The Counselor hits theaters on Oct. 25.