Here is how this might work. Mr. Jones, I got your letter this morning and it tells me that you are going to keep my resume on file against further openings. I'm puzzled at that because I only sent a short note to the company suggesting a meeting to talk about what I might be able to do for you. This must be delivered without a trace of sarcasm because that could kill your relationship. Then, keep quiet and see what the answer may be.
Silence is powerful.
Carrying on from here, find out how the organization goes about recruiting. People enjoy giving advice, especially when sincerely asked by someone who really needs it. There is still enough warm feeling in even the most harassed executive hearts for you to get some very useful information from them. With that information you can then approach someone else or keep it on file for follow-up next month. It is important for me to know this, because I may well have approached the company incorrectly.