Request for Referral Following Failed Job Application
[Company Name & Address]
It was a nice to meet you on [date here] when I submitted a job application in your company for the post of [State position].
I have been informed that I am not selected for this job.
I am writing this letter to ask you for a referral. You have my details, so I believe that you may be aware of any matching openings for me.
My contact number is [no. here], you can call me if you find any suitable openings.