The yule log soundtrack includes the song Gesu Bambino which is an instrumental by Percy Faith, but there are vocal versions
as well. There is a version by Italian tenor Giovanni Martinelli from 1926, that is on the Readers Digest box set "Joyous Noel
Catalog No RDA-57A released 1968. It is on record 4, side 1, track 5.

Here is the version by Giovanni Martinelli. from the original 78 RPM record, Victrola 6602-A.

I cannot figure out how to embed a video so a link will have to do.

Gesu Bambino by Giovanni Martinelli