Reading this thread has put me in mind of an Italian lullaby I used to sing for my kids when they were babies:

Fa la nana, bambino
Fa la nana, bambino
Fa la nina, fa la nana,
(not sure of the spelling of next line)
Nei breceiti della mama

Every baby I ever sang this to settled really quickly.
If anyone can correct the words I'd be grateful - I never saw them written but only heard the song on Playschool

Cheers,
Quokka