MARLBORO — Decision day fast approaches for former Harvard star Jimmy Vesey, who next week will make one NHL club very happy.

As of midnight Monday, the high-scoring left winger will become an unrestricted free agent, and, probably, the richest member of the Harvard Class of ’16.

Likely all 30 NHL clubs would love to add a 23-year-old player who is hard-working, smart, responsible, very talented (24-22-46 totals in 33 games last season for the Crimson en route to winning the Hobey Baker Award) and, at least in relatively inexpensive for the first two years.

Vesey is finalizing a list of no more than a half-dozen teams with which he’d like to speak.

He and his agents and family held a strategy meeting yesterday to nail down that short list and discuss the relative merits of the handful of finalists.

“Just to kind of finalize our thoughts,” Vesey’s agent, ex-Boston University goalie Peter Fish, said yesterday at the Beantown Summer Classic tournament here at New England Sports Center. “We’ve all been running around doing stuff this summer, but we’re finally getting down to the nitty-gritty.”

One of the clubs very much in the running will be the team for which the Charlestown native and North Reading resident has rooted most of his life: the Bruins. Adding Vesey would be a major coup for GM Don Sweeney

Over the past several days, numerous scouts, team officials and agents on hand for the Beantown Summer Classic have speculated on Vesey’s plans. One very well-informed area NHL scout expressed the belief that the Chicago Blackhawks, New York Rangers and Bruins will be the finalists.

The Buffalo Sabres have had exclusive negotiating rights with the 6-foot-2, 195-pound Vesey since June 20, when they acquired those rights from the Nashville Predators, who drafted him in the third round in 2012. While the Sabres haven’t been able to sign him, it’s possible they’ll be final candidates. The Toronto Maple Leafs, for whom Vesey’s father, ex-Bruin Jim, is a scout, have also been widely mentioned. And more than one source at NESC pegged the New Jersey Devils as a darkhorse contender.

All teams will make virtually identical contract offers: Two years, with a $925,000 salary (including $92,500 each year in signing bonus) and the potential to add up to $2.85 million annually in performance bonuses.

“What Jimmy wants to do is see it through,” said Fish. “He’s wanted to go to free agency and he’s going to see it through. There’s about 4-5 teams other than Buffalo that he wants to hear from. And then after that he’s going to make a decision. I think he’d love for the Bruins to be one of those teams. I assume that we will be taking a call from them.

“We’ve looked at depth charts with some teams and talked about them. . . . “There’s obviously a lot of thought that goes into it: The city, the coach, the GM, the salary structure, how a team treats their players in the second and third contracts down the road.”

Fish said Vesey has handled the situation well, but is looking forward to putting the decision behind him.

“Jimmy’s been pretty quiet and calm about all this,” said Fish. “I think he’s looking forward to getting this over with so he can get on with his NHL career.”