Menswear retailers beware: there’s a new arrival in town. Boggi Milano, which operates more than 240 stores in 60 countries, has set its sights on the U.S.

The Milan-based menswear brand has opened two stores in New York City, with a third in the cards for next month, but that’s just the beginning. It is also planning to expand in other key markets across the country over the next five years, according to Claudio Zaccardi, president, chief executive officer and creative director of the family-owned company. Among the cities on its target list are Miami, Chicago, Washington, D.C., Boston, Houston, Dallas, Los Angeles and San Francisco.

In a walk-through of the two-level, 5,920-square-foot Madison Avenue flagship on the corner of 54th Street on Monday, Zaccardi said opening in New York is “a dream come true. The U.S. is the most important country in the world and we believe that we are a global brand now, but you can’t really be a global brand if you’re not in the U.S. — especially for menswear.”

Boggi made its first move into the market in February when it opened a single-level 1,800-square-foot store at 115 Mercer Street in SoHo. The Madison Avenue flagship opened quietly about one month ago, with the official grand opening slated for Tuesday.

A third unit will open in June at The Shops at Columbus Circle. That store will also be two levels and will measure 4,735 square feet.

Boggi is fully owned by the Zaccardi family, which has a long history in apparel and menswear. It started with Zaccardi’s grandfather, who was a childrenswear tailor and retailer in Monza, Italy, outside Milan. The store passed to his mother, who continued to focus on childrenswear until 1985 when Zaccardi and his brothers took over the business and converted it to a luxury multibrand retail store called Brian & Barry.