Promoted by the AC Milan youth academy who developed him into a left-sided skillful midfielder, Evani was not gifted with great pace or the ability to wizard his way past defenders, but his dependable qualities proved vital to AC Milan, especially during Arrigo Sacchi's reign. He was handed his debut at the age of 18 in 1981, going on to wear the Rossoneri shirt for the next 13 years. His honours while at AC Milan included two promotions from Serie B, three Serie A titles, two European Cups, two Italian Super Cups, two European Super Cups and two Intercontinental Cups, scoring the winner against Atlético Nacional in their 1989 triumph.
When Sacchi was appointed as Italy coach, Evani became an Italy regular too. He played in 1994 FIFA World Cup scoring a penalty kick in the shootout loss to Brazil in the final. He left AC Milan in 1993 to join Sampdoria (with Sampdoria Evani wins one Coppa Italia, staying there for four years until moving at Reggiana and ending his career at Carrarese.
After his retirement, Evani returned AC Milan, serving as youth team coach for the Allievi Nazionali (16 to 17-year old players), being crowned as national champions in 2007, then starting undertaking coaching qualifications. On June 2009 he was announced as new head coach of Lega Pro Seconda Divisione club San Marino. He was removed from his coaching post on April 2010 despite being in second place with his team, citing internal problems within the team and difficult relationships with the board as the main reasons for his dismissal.
On August 2010 he was appointed head coach of the Italy Under-18 team.