Prepare grill for direct cooking with targeted temperature of 450 degrees F.
Over medium heat in a 3 quart dutch oven, add olive oil and diced onions. Saute over medium heat for 6 - 8 minutes or until soft. Adjust heat as needed to soften, but not caramelize the onions.
Add garlic and stir for 1 minute.
Add ground beef, salt and pepper. Turn up heat until you hear the beef searing and stir. Stir and cook until the meat browns, approximately 6 minutes. If there is a lot of liquid from the fat rendering, drain it out of the pan without loosing the mixture.
Add the tomato sauce, paste, beer, Worcestershire, chili powder and mustard. Stir to incorporate and bring to a simmer. Continue at a simmer for 20 minutes to let the chili mixture thicken. Adjust heat as needed to keep a low simmer.
As the chili simmers, place the hot dogs on the grill over direct heat. Because hot dogs are precooked, they will cook quickly. Cook the hot dogs 2-3 minutes and flip once. Continue grilling for 2 more minutes and remove from the grill.