In 2009, having finished her youth career for S.S. La Benvenuta, a club located in Bollate, a city to the north-west of Milan, Giuliani moved to Como to take part in the 2009–2010 Serie A2 season. Her debut came on 14 February 2010, against ACF Trento. She was named on the starting XI for the 2010–2011 season and started all 22 league matches, conceding 15 goals. The team finished even on points with ACF Milan in Group A, as, during the final league match against the rossonere, a late goal handed the win to the Milanese club. At that point, a play-off match was held seven days later, lost at the 94th minute. Como 2000, however, was later granted access to the Serie A as well when Reggiana withdrew. Giuliani made her Serie A début on 9 October 2011, against Tavagnacco, and marked 22 appearances out of the 26 league matches, conceding 37 goals as Como finished the season 9th.
On 21 September 2012, Giuliani announced she would be moving to GermanBundesliga team FSV Gütersloh 2009. She started her first match for the team on 14 November 2012.
Giuliani moved to 1. FC Köln for the 2015–16 season; she started as a backup for Lena Nuding but gradually played more and more games, unable, however, to prevent her team from being demoted.
Before the 2015–16 season ended, with Koln already mathematically relegated to 2. Bundesliga, Giuliani was signed by SC Freiburg, where she constantly was second-choice to Laura Benkarth, only one year older but also already a player for her national team.
Juventus FC
She signed for the newly created Juventus team in 2017.
International career
Under-19
Giuliani received her first call-up for the Italian U19 team on 5 March 2011, for a friendly. She made her UEFA début on 30 May 2011, in the 2011 Women's Euro, in the first group stage match against Russia, as Italy reached the semi-finals, where they were knocked out by Norway. She totalled 19 caps for the U-19 team.
Under-20
Giuliani made her FIFA début on 19 August 2012, during the first group stage match against Brazil of the U-20 World Cup. Italy drew 1–1 with Brazil and lost the following two matches, leaving them out of the quarter-finals. Giuliani started all three group stage games, conceding seven goals.
