Tebaldi, one of the greatest opera stars of the 20th century, died December 19 at the age of 82.
The ceremony was held at a church in the independent republic of San Marino, in north-central Italy, Tebaldi's hometown. Singer Katia Ricciarelli attended, as did San Marino officials.
A public memorial service will be held today in front of La Scala, in Milan. It is expected that Riccardo Muti, La Scala's music director, will pay tribute to the singer.
Tebaldi will be buried later today in her family's chapel in Langhirano, in central Italy.