Just inside the entrance to an Italian restaurant on a recent afternoon in the historic St. George neighborhood on Staten Island, the smell of soy and ponzu masked that of onions and garlic.

The source? A Japanese woman had taken over the kitchen to make gyoza and shrimp dumpling soup.

“The dumplings are good!” said a customer at a table of seven, sounding surprised.

The next night, however, the dumplings would not be there.

At Enoteca Maria, an “Italian” restaurant on Hyatt Street, half of the menu changes daily. The fixed half is Italian; the rest is left for rotating cuisines from all over the world. And the people calling the shots are not professional chefs; they are grandmothers.

Each night, a “nonna” (Italian for grandmother) from a different country designs a fresh menu, honoring her native cuisine.

Friday was Sri Lanka; Thursday, the Philippines; Tuesday, Armenia.

A man eating at the bar asked about the next Sunday menu: Russia.

Mary McLaughlin, 68, had cod and the gyoza. The man sitting next to her had lasagna. Ms. McLaughlin, who traveled 32 miles from Floral Park, on Long Island, to dine at the restaurant, said she liked the idea of rotating chefs who knew their way around a truly home-cooked meal.

“It’s more personal,” Ms. McLaughlin said. “And it leads to a variety of items on the menu.”

Across the table, Terry Blair, 60, of Bellerose, also on Long Island, tried the rabbit and gyoza; her daughter ordered ravioli.

Dumplings are steamed in an upstairs kitchen.
STEPHEN SPERANZA FOR THE NEW YORK TIMES

A few feet away, Brian Goldberg and Concetta Smith, of Brooklyn, went the Italian route.

“It’s very much of a New York experience,” said Mr. Goldberg, who works as a computer engineer. “It’s like a vibe.”

Throughout their meal, Mr. Goldberg and Ms. Smith, a writer, listened as the owner, Joe Scaravella, fielded calls from behind the bar from potential diners.

“He’s been on the phone pretty much since we got here,” Ms. Smith said.

Mr. Scaravella, 61, wears glasses with tiny round lenses and thin frames — the kind a wacky inventor might wear. His thick, gray beard, poking out in all directions, defies the confines of his face. He has the mustache to match.

“Enoteca Maria, can I help you?” Mr. Scaravella said at a breakneck pace, as if it were all one word, into a headset.

“This thing is plugged into my brain,” he said, joking.

The phone rang every few minutes. One caller asked if Mr. Scaravella would hold her reservation; she was running late. Another made reservations from England.

The hoopla over Enoteca Maria is sort of a happy accident. Mr. Scaravella moved to Staten Island from Brooklyn on a whim in 2006. While scoping out local real estate, he fell in love with a storybook cottage on a hill: a century-old Dutch colonial with walnut wood inside and a scenic view.

He bought the house that day by impulse. Soon after moving in, he went on a bread run and noticed an open storefront on Hyatt Street. That is where Enoteca Maria now stands.

At the time, Mr. Scaravella had recently lost his mother. His sister and grandmother had also died.

“After losing all those matriarchal figures in my life,” he said, “I wanted to try to recreate that, you know, grandma in the kitchen cooking.”

Joe Scaravella, the owner of Enoteca Maria, on Staten Island. “I wanted to try to recreate that, you know, grandma in the kitchen cooking,” he said.
STEPHEN SPERANZA FOR THE NEW YORK TIMES

He had no business plan and no restaurant experience.

“I was just trying to comfort myself,” said Mr. Scaravella, who named the restaurant after his mother. At the time, he had been working for the Metropolitan Transportation Authority for over a decade. “I work from the heart more than from the head.”

When the restaurant opened, all of the “nonnas” he hired were Italian. In July 2015, Mr. Scaravella brought in the first non-Italian cook, from Pakistan.

Though there are many great professionally trained chefs, Mr. Scaravella said, these women offered something different.

“When they cook, they’re really expressing themselves,” he said of the cooks, many of whom rely on generations-old family recipes.

“In the beginning, when we were all Italian nonnas,” he said, “there might have been a little bit of jealousy. You know, who makes the best lasagna, or who makes the best sauce?” But these days, there is little conflict, something Mr. Scaravella attributes to the diversity of the cooks. The kitchen arrangement also seems to help: A different cook each night is matched with an advocate, or a sous chef.

On a recent Saturday, the cook in training was Yumi Komatsudaira (the Japanese woman with her shrimp gyoza soup), who is from Saitama, Japan, just outside Tokyo. Although she is not a grandmother, an exception was made. Her sous chef was from Siberia.

“They can’t be jealous of each other, because they’re from two different worlds; they’re doing two different things,” he said. “The only thing they can say is: ‘Oh, how do you do that?’ ‘How does this taste?’ ‘What ingredient is that?’”

The women share tips and tricks, Mr. Scaravella said.

“For me, it’s a more beautiful interaction,” he said of the pairing. “There’s much more of an exchange of culture and stories and recipes.”

Yumi Komatsudaira preparing sushi.
STEPHEN SPERANZA FOR THE NEW YORK TIMES

Ms. Komatsudaira visited Enoteca Maria in January to learn to cook Polish food. The public can sign up for free one-on-one cooking classes at the restaurant, taught by women from a variety of countries. These lessons — exclusively by and for women — are currently booked several months in advance. After Ms. Komatsudaira’s lesson, Mr. Scaravella invited her to cook her own Japanese menu.

“I love cooking; I love food,” said Ms. Komatsudaira, as she prepared seaweed from her family’s business. “I guess Joe can see right away.”

She learned about food from her mother, and she is teaching her 11-year-old son how to cook at home. She emphasized the importance of memories made in the kitchen and around the table.

“I think eating at home is what makes you who you become,” she said.

Ms. Komatsudaira and her sous-chef and trainer prepared a carefully curated menu that included Japanese fried chicken.

Downstairs, Adelina Orazzo runs the Italian kitchen. Ms. Orazzo, 61, who moved to Brooklyn from Naples, Italy, 25 years earlier, is “very proprietary about her knowledge,” Mr. Scarvella said.

When she was a child, her family was very poor, Mr. Scaravella said of Ms. Orazzo, whose English is limited. Her uncle would paint the floor of the house to make it look tiled. Mr. Scaravella attributes her cooking knowledge to her upbringing. She cooks Old World dishes like sheep’s head; she makes stuffing from ingredients normally thrown to the side — chicken livers and hearts and gizzards.

“These are poverty-driven dishes,” he said. “I really like to keep these as simple and as authentic as possible, because they really represent… it’s really the origin of food.”

Aside from Ms. Orazzo, each of the cooks comes in one day a month to help with the daily specials, which makes for a unique energy in the kitchen, he said.

There is a distinct difference between a grandmother’s homey kitchen and the nonnas enterprise: A grandmother never turns anyone away.

At Enoteca Maria, however, Mr. Scaravella doesn’t have much choice.

“We are completely booked,” he said into the headset, over and over. “I can put your name on a wait-list and call you, if something changes.”