If you know for sure you have a piece made with ABS you can buy a can of ABS glue at the Depot or Lowes in the plumbing dept for a few $. Not any more than you will pay for a pint of MEK or Acetone and you don't have to find a piece of scrap ABS to melt down.
It all works the same way drain and waste pipes are glued at their joints.
My GTX grill has a small raised "ABS" identifier on the back of it.