Just for info guys:
I applied using alumni link on 19th evening. On 20th morning, I received a call regarding setup of VKyc on 20th evening itself and was advised to pick up the call.
However, no one called up. And I waited till yesterday(24th morning), and then out of impatience, I just opened apply for credit card on fly from my wealth banking page(There was no pre qualified offer though). The web page asked for hell lot of details like employer, religion, pass out institution, official email and address and much more.
Several cards were shown me to choose. All cards except Emeralde were shown as LTF. Emeralde was shown as Rs. 1K+GST per month. Rubyx and Sapphiro were shown with two options Amex and Visa Signature. I chose Sapphiro Amex.
Application Number was generated, No VKYC was needed and I received a message that your application under process and final decision shall be communicated in 15 days. After the SMS was received, CIBIL was hit.
Will update with the outcome, fingers crossed.
So, I think you can try your luck by applying directly from ICICI Bank Net Banking Page.
And Yesterday evening after all this the previous lady executive handling Alumni Offer, called back and said there was some issue with the system, and now she is ready to process, I told her, I have already applied, she was disappointed 🙁 and said she is dropping the lead.