Try again :-]

I have a problem with our stainless steel sink counter-top. In one area the top has become detached from the wooden base, and lifted slightly, affecting the draining and causing water to pool. It doesn't take much force to push it down. I am thinking about drilling a couple of holes up through the base from underneath and injecting some adhesive. What would be the right adhesive to use, i.e. what sticks to stainless steel?

Thanks
Gib