ceramic/glassware rectangular baking dishes - grill proof?

I recently purchased a lasagna dish like this which isn't grill proof. Are most ceramic/glassware rectangular baking dishes not grill proof? I generally like to finish certain dishes off by using the grill in a conventional oven to make the top crispy and so I'm wondering if they would still be safe to use like this or not?

Edit: Just found out, that I mean broiler for US folk.