The Boston Licensing Board next week holds a hearing on Seven Star Street Bistro's request for a license that would let patrons bring their own beer or wine to drink with their meals.

The board last month began accepting BYOB applications from small restaurants without liquor license in Boston's outer neighborhoods for one of the permits - after the City Council and Mayor Walsh approved setting regulations for the new-for-Boston concept.

Councilors had cited Seven Star on Belgrade Avenue as a prime example of the need for BYOB - a small restaurant that could not afford a full liquor license, which can go for six figures, and outside one of the Main Street districts where lower-cost licenses became available in 2014.

Under the board's regulations, diners at restaurants who get one of the $400 BYOB licenses would be allowed to bring in wine bottles no larger than 750 ml. Although the board initially proposed banning beer drinkers from bringing in beer bottles larger than 16 ounces - and no more than 64 ounces in total - the board amended that to allow growlers as well. Diners also could not leave during their meals to get more to drink. BYOB would be limited to 5 p.m. through 11 p.m.

The licenses are not available to restaurants downtown and in the North End, South End, Bay Village, Back Bay, Beacon Hill, Fenway, Chinatown, the Seaport and the West End.

The board's Wednesday hearings - which include other restaurants and stores - start at 10 a.m. in its eighth-floor hearing room in City Hall.