I've been networking (or trying to) with senior executives (VP/C-level) over the last few months, in search for my next role. I've had some success in scoring brief conversations with a few generous folks, but am yet to land a role.
In a recent (2-3 weeks ago) such networking attempt with a VP at a F500 company, I expressed my desire/excitement to find a good fit role in the VPs org/the company. 2 weeks later I noticed an opening reporting into the VP that was an ideal role (but I can imagine very competitive too) so I reached back out to the VP (via LinkedIn) to re-express interest. He suggested that I apply and that he will speak to the recruiting team about me (his words). The role was posted externally only for 5 days, and yesterday I got a system rejection notification.
I'm unsure as to whether the rejection was a recruiter oversight or a 'genuine' rejection where I was trumped by someone with better experience or whether they already had someone in mind (in which case I don't understand the VPs suggestion for me to apply when they had the intention to reject). Regardless, I'd like to express continued interest in roles in his org (he is new to the company and is likely going to expand the team).
How should I best articulate my ongoing interest, in a professional but non-desperate way (on this occasion but hoping to use the approach for similar future occasions as well)?