Solemani is against the criminalisation of sex work, and has been a champion for sex worker rights since 2002. She was nominated by the English Collective of Prostitutes (ECP) to represent them in Parliament in order to halt further efforts to criminalise clients. She was an active supporter of former Shadow Home Secretary Yvette Cooper in the 2015 Labour Leadership contest. She has introduced Cooper at various Labour Party events and has contributed to her speeches.

Solemani was awarded third place in the Barry Amiel and Norman Melburn Trust/New Statesman Prize for New Political Writing on the subject: "Do women's rights remain the privilege of the developed world?" in 2005.

In 2009, she appeared in Simon Stephens Pornography at the Tricycle Theatre in London and in 2012, she appeared as Maryam in the play The House of Bernarda Alba at the Almeida Theatre. She wrote Up the Royal Borough, part of an evening of plays in response to Owen Jones' Chavs at the Lyric Hammersmith. It gained good reviews.

Solemani's first film role was as a tableaux girl in Mrs Henderson Presents, which she performed during her third year of college. Her first major TV role was as "Becky" in BBC Three sitcom Him & Her, which was first broadcast in November 2010, and ran for four series ending in 2013.

In 2011, Solemani won the Royal Television Society award for best Comedy Performance for her role in Him & Her along with her co-star Russell Tovey.

Solemani married Daniel E. Ingram , a sustainable investment expert specialising in climate change in Petah Tikva, Israel on 3 June 2012. Their daughter was born in December 2013.