Finally, after waiting for 1 hr 15 min, this time I could speak with a support person and my issue has been resolved. My take - in this region, we may have to wait for long to get connected, then it will be swift. Thanks.

Apple Developer Support, Thanks for your reply. and I understand it. Please see my earlier note. I am unable to connect Apple Developer/ Enrolment support (using the link that you have suggested). In past one month - 7 email support requests and 3 phone call back requests. Unfortunately, nothing has worked so far. I am just asking for a mechanism - which will work. It will be great if you could help me with that.