Receiving mails to an alias e-mail in iCloud

I wonder if anyone out there has a similar problem regarding iCloud. I have a main e-mail address and an alias from my mobile which I brought over to iCloud. I started using iCloud several days ago. With my main e-mail address, everything is perfect because I can send and receive e-mails but the same is not true with my alias. My alias e-mail can send mails thru logging into iCloud, but when you send mails to my alias e-mail, it doesn’t go thru as what is implied by an error message that the e-mail doesn’t exist.
I seek help from Apple support yesterday and spoke to an agent for almost an hour. The agent told me that I need to clear out the caches and to uninstall iCloud and then restore it but to no avail. My problem was transferred to the agent’s supervisor and I am currently waiting for any advice from them.
