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1
Coat a large saute pan with olive oil, add the onions, and bring to medium heat.
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2
Season the onions with salt and cook until soft and aromatic, 8 to 10 minutes.
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3
Add the garlic and cook for another 2 to 3 minutes, stirring frequently.
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4
Remove from the heat and let the mixture cool.
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5
In a large bowl, combine the cooled onion mixture with the beef, veal, pork, rosemary, Parmigiano, bread crumbs, egg, and 3 to 4 tablespoons of water.
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6
Mix well and season generously with salt.
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7
Make a 1- to 2-inch tester patty.
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8
In a small saute pan, heat a bit of oil and cook the patty.
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9
When its cool enough, taste it to make sure its deliciousif its not, reseason.
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10
When the tester tastes fabulous, form the meat mixture into four equal patties.
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11
Preheat a grill or coat a large saute pan with olive oil and bring it to medium-high heat.
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12
Cook the burgers for 4 to 5 minutes per side.
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13
Toast the buns on the grill or in the toaster.
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14
While the second side of the burger cooks, place a slice of cheese on top and let it melt.
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15
Schmear each side of the bun lightly with mayonnaise, place a burger on each bottom half, garnish with the arugula, tomato, and onions (pickled or otherwise), top with the other half of the bun, and serve.
