How do I extend the stay of my new-born if his/her foreign passport is not ready for collection?

You can report to the Visitor Services Centre at Level 4, ICA Building on Mondays to Fridays (except Public Holidays) between 8am to 4pm, before the expiry of your child’s visit short-term visit pass (STVP) or special pass.

You are required to furnish the following documents for the extension of your child's STVP or special pass:

a) Travel documents of both parents,
b) Singapore IC or work passes of both parents;
c) Parents' marriage certificate (if any) and child's birth certificate;
d) Advisory note; and
e) Letter of acknowledgement from the Embassy or High Commission in Singapore indicating you have submitted a travel document application for your child or the travel document for your new-born child.

No prior appointment is required, and you do not have to bring the child along.

This information provided here is sourced from the ICA website.