Press is from North London. After studying Fine Art at university, she worked as an office temp and as a video store clerk on Fulham Road until the success of My Summer of Love. Press" first credited screen role was in a 2001 episode of the British Broadcasting Corporation television series Holby City.
She made her professional stage debut in The Weather, a new play Clare Pollard, performed as part of the Royal Court Theatre"s 2004 Young Playwrights Season.
In 2005, Press appeared as Caddy Turveydrop (née Jellyby) in the acclaimed British Broadcasting Corporation serialisation of Dickens" Bleak House. Also in 2005 she appeared in the British Broadcasting Corporation television drama Mr.
Harvey Lights a Candle. Later that year she also starred in the same director"s short film Ex Memoria - produced by Oscar-winning producer Mia Bays - a film about a woman with Alzheimer"s disease.
Press starred as the young version of the character Eva.
The short was nominated in the category of Best United Kingdom short at the British Independent Film Awards. She also starred in Inseparable opposite Benedict Cumberbatch, and in In Transit, a World World War II drama set in Russia which also features John Malkovich. Forthcoming films include Knife Edge and The Sea Change.
On 8 March 2007, Press performed in an Art Plus drama fundraising event at the Whitechapel Art Gallery opposite Rhys Ifans, Martine McCutcheon and Samantha Morton.
In 2007 she was, alongside Cecilia Dean and Helena Christensen, one of the new faces of the Japanese clothing label Uniqlo and featured in the music video for Turin Brakes" single "Stalker". She made her radio debut in October 2007 in the British Broadcasting Corporation Radio play Wes Bell by Matthew Broughton.
In 2010 she was nominated for Independent Spirit Award for Best Supporting Female for her movie Fifty Dead Men Walking. Press worked on period love story Where I Belong (2012) in the leading role of Rosemarie, starring opposite Johannes Krisch.