Thank you for all your information.
I have finally received reply directly from ICA. I will post the reply here, as I think this would be useful for anybody else facing this problem.
Reply from ICA:
"Please be advised that should a further request to stay beyond the
period granted, the student needs to submit an application for extension of
Social Visit Pass (SVP) through a local sponsor before the current SVP
expiry date at the Visitor Services Centre, 4th Storey, ICA Building (Next
to the Lavender MRT Station) for our consideration. The student needs to
state clearly the reason(s) for his/her purpose of stay on the form 14. In
addition, he/she may also include other supporting document(s), if any, or
a self-explanatory letter which he/she deems relevant to substantiate
his/her application.
All application for Social Visit Pass (SVP) is considered on its own
merits.
Details of applications, procedure and documents required as well as
application forms (Form 14, Form V39I (Form V39I is for non-Malaysians
only), for applying social visit pass are available in our department’s
Internet website at
http://www.ica.gov.sg under Visitor Services. We hope
you will find other useful information while surfing our website."