In 1660, he published in Antwerp, at the editing house of Petrus Phalesius' descendants, a series of Christmas songs in four parts and with Dutch and Latin texts, which bore the title: Cantiones natalitiae quinque vocum auctore d. Guiliel.
The soloist might have been singing in front, while the choir sang in the background.
This kind of performance has been found written down in some older editions of similar material.
As this doubling of the cantus by a praecentus has been applied also in two other editions by composers, who like Borremans, worked in Brussels, we seem to encounter a typical Brussels variation on the theme of the Cantiones Natalitiae.
Those Brussels composers are Joannes Florentius a Kempis, who played the organ at the "Chapel of Our Lady" Church (Kapellekerk), and whose edition appeared in 1657, and Gaspar de Verlit, who was choir master of the St. Nicolas Church (Sint-Niklaaskerk) and whose edition was published in 1660.