She was born and raised in Hampstead, London, the daughter of actors Tom Conti and Kara Wilson.

She studied at the University of East Anglia (UEA).

Conti has worked as an actress since 1996, appearing in multiple roles in Ken and Daisy Campbell's 1999 and 2000 productions of The Warp- Neil Oram's 24 hour play cycle, and was a member of the RSC's 2000/2001 company in Stratford and London. Ken Campbell subsequently devised the ventriloquist play Let Me Out!!! for her, which she took to the 2001 Edinburgh Festival Fringe.

She appeared as half-Afghan camera operator Azadine in Henry Naylor's play Finding Bin Laden at the 2003 Edinburgh Festival Fringe.

She has appeared in several television shows, including Black Books, Holby City, Single, and, recently, the Australian panel show Spicks and Specks.

Conti and Monk portrayed a morning weather team on the fictional "Wake Up L.A." in Christopher Guest's 2006 film, For Your Consideration.

In 2002, Conti won the BBC New Comedy Awards, came second in the Hackney Empire New Act of the Year, and came third in Laughing Horse New Act of The Year competitions.

Conti regularly headlines at London comedy venues, and has appeared at The Comedy Store.

She took her first solo full length show, Complete and Utter Conti, to the Edinburgh Festival Fringe in 2007, she introduced some new characters as well as performing familiar routines. In 2008 she won the Barry Award for this show at the Melbourne International Comedy Festival, tying with Kristen Schaal.

At the Melbourne Comedy Festival 2010 she debuted a new puppet, an elderly woman who is her "Nana".