Murati hosted her first TV program Antilope in 2013 and then she co-hosted with Adi Krasta Duartrokitje, both of them at Agon Channel.
She is the granddaughter of Pandi Stratobërdha, hydrotechnical engineer, founder of University of Tirana in 1957 and member of Academy of Sciences of Albania since its founding in 1972.
[citation needed] After entering high school she participated in her first audition for Tirana East Gate which she won.
The company chose her after seeing Murati's interview with Italian actress Manuela Arcuri which she previously did in Agon Channel.
The cover of Living magazine Spring 2017 issue was to introduce to the public her new project, UEFA Champions League.
[9] Murati took a year off from television to focus on her acting career[10] while working on films and TV series then to make a return in March 2016 when she was offered to host Finding Miss Universe Albania.
[17] Murati presented[18] One Billion Rising the feministic movement at Dëshmoret e Kombit Avenue, in which thousands of women took part by dancing the Break the Chain choreography.
[18] Murati hosted the 8th of March annual concert at the Palace of Congresses, which was in honor of International Women's Day.
[18] This event was attended by many political figures and was concluded with a speech by then prime minister of Albania, Sali Berisha.
Murati was also part of the jury in the TV Show Shopping Night aired in Vizion Plus and Living HD as a fashion adviser.
[20] In December 2016 Murati took part in the artistic project EKSOD by Justin Fernando Valls in role of Juna.
Inspired by the political events of the time EKSOD produced by JFV Production showed the desire of young adults to leave Albania due to lack of opportunities and not achieving goals because of the corrupted system.
[21] Murati starred in her first full-length movie Ti mund të më quash Xhon (translated: You can call me John) in the role of Alba Basha[22] alongside Genti Kame, Gezim Rudi and Ermira Gjata.
The TV series was directed by American director Adam Pray and produced by Digitalb and Cukali Production.
Murati had her theatrical debut at Bertolt Brecht’s adaptation of The Threepenny Opera[8] in the protagonist role of Polly Peachum.
Later she proved herself as a singer and dancer in the musical adaptation of Shakespeare’s play The Two Gentlemen of Verona[8] in the leading role of Sylvia.
Since the start of her career with One Billion Rising movement, Murati is considered a feminist and has always been an advocate of gender equality.