Preheat grill to 350 to 400 (medium-high). Bring sausages and beer to a boil in a Dutch oven over medium-high heat. Cover, remove from heat, and let stand 10 minutes.
Drain.
Cut a 1/2-inch-deep wedge from top of each roll. Reserve wedges for another use, if desired.
Cut rolls in half crosswise.
Grill sausages, covered with grill lid, over 350 to 400 (medium-high) heat 8 to 10 minutes on each side or to desired degree of doneness.
Place 1 sausage in each roll half. Spoon desired amount of Sweet Pepper-Onion Relish over each sausage.
*Chicken sausages may be substituted.
**4 1/2 cups water may be substituted.
Note: For testing purposes only, we used Johnsonville Stadium Style Brats and Yuengling Traditional Lager.