Caverzasio won her first ITF title as a 14 year old in 1987 and was aged only 16 when she first appeared for the Italy Fed Cup team in 1988.

[1] On her Federation Cup debut, she partnered with Laura Garrone to win the decisive doubles rubber in a World Group tie against Poland.

Her best performance on the WTA Tour was a runner-up finish at the 1989 Mantegazza Cup in Taranto, and the following year she reached her career-best ranking of 34 in the world.

[3] She was a member of the Swiss team which made it to the 1991 Federation Cup quarterfinals, where they were beaten by Czechoslovakia.

For the doubles against Czechoslovakia, she partnered with Manuela Maleeva in what was a dead rubber, which the Swiss pair won after their opponents Jana Novotná and Regina Rajchrtová lost the first set, then abandoned the match in the second.