Amurri was born in New York City, New York, the daughter of Italian director Franco Amurri, and American actress Susan Sarandon. Her grandfather was television writer Antonio Amurri, and her aunt is television writer Valentina Amurri. She attended Friends Seminary for middle school and graduated from Brown University in 2007, majoring in Italian studies.

Amurri had a role in the 2002 film The Banger Sisters, in which her mother starred. She guest-starred, along with her mother, on an episode of Friends in Season 7 ("The One with Joey's New Brain") in which she is slapped by Sarandon. In 2004, she appeared in Saved! (also starring Mandy Moore and Macaulay Culkin), which remains her largest role to date. Eva graduated from Saint Ann's School (New York City) and Brown University in 2007.

She recently guest hosted Attack of the Show with Kevin Pereira.

She had a role in the third season of the Showtime series Californication, where she played Jackie, a stripper, student and love interest of central character Hank Moody.

In 2009 she appeared in an episode of How I Met Your Mother as Shelly in the episode "The Playbook." Amurri stars in the thriller film Isolation, directed by Stephen T. Kay. She appeared in Fox's show House M.D. in 2010 as Nicole in the episode "The Choice."