The two met in 2006 and became engaged last December.
Alyssa reportedly wore a custom gown from designer Vera Wang and walked down the aisle while John Lennon's "Imagine" played.
"We wanted a wedding that was reflective of who we are as a couple," the star told the mag.
She paid tribute to her Italian heritage with a family-style dinner that she said was intended to capture the feeling of her family traditions.
"My Italian family still eats Sunday dinner together every week," Alyssa said. "We wanted to capture the same feeling with people passing around beautiful bowls of food and talking and laughing."
In town for the wedding was Bradley Cooper, a friend of the groom's – though there's no report on whether he brought a date. The "Hangover" star recently returned from a Spanish sojourn where he was spotted kissing and cuddling with Renee Zellweger.
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