If he doesn't accept your invite, or doesn't want to cooperate during this meeting, resend an invite and include your manager and QA and all the other engineers. Update your list of bugs and add bugs from the whole team not only his bugs. Then make it a real team exercise. The problem will raise during this meeting and everyone will clearly see that this dude is a bug-generator.
It is a long process, but that's how you do it professionally. What do you earn from this big effort? People will thank you for taking initiatives and to raise the bar in terms of quality. In other words, you'll get a bonus ;) He will regret not listening to you when he had a chance to fix his mess "secretly".