However, parallels can be found in pre-tridentine customs all over Europe. A notable example we previously explored is that of the Virgo Sacrario of the Cathedral of Palma.
Update (05/06/2021)
The first written mention of this practice dates back to St. Ulrich of Augsburg (893-973) according to his biography, the Vita Sancti Uodalrici, composed by Gerhard of Augsburg. My gratitude to Fr Juan Tomas FSSP for providing this information.
Further
reading:
Juhos R.
The sepulchre of Christ in arts and liturgy of the late middle ages. 2018.
Brooks NC. The Sepulchre of Christ in Art and Liturgy. 1921.
Schmitt O. Das Heilige Grab im Freiburger Münster. 1919.
Schwarzweber A. Das Heilige Grab in der deutschen Bildnerei des Mittelalters. 1940.
Kroesen J. Heiliges Grab und Tabernakel. Ihr Zusammenhang im mittelalterlichen Kirchenraum. 2000.