The trick is to keep applying. I sent off hundreds of cv's to the same companies over and over again before I got my first interview (I was low-time, modular, older). The airlines don't hang on to cv's for long so you have to be lucky. Your application needs to land on their desk when they're short of interviewees. It worked for me and I now fly jets for a major just over a year later.
The other point is that biz jet flying is very difficult to get in to. You will almost certainly need an unfrozen ATPL for insurance reasons and that means you already have 500 hrs MPA.