There is plenty of research to support singing to your baby: it supports their cognitive development and emotional attachment. It’s also good for your mental health.
If your first language is Italian, you may be trying to find a lullaby. Here are a few possibilities.
Bolli Bolli Pentolino
Fa la ninna, fa la nanna
Ninna nanna, sette e venti
Ninnananna di Fra’ Simon
Ninna Nanna Ninna Oh