Finley, who has played in two NHL games, signed with Boston in July after spending four years in the Nashville Predators organization. He was 5-3 with a 3.08 goals-against average in eight games this season with Providence.
Toivonen, in his second season with the Bruins, is 2-3 with a 4.20 GAA. In 20 games last season, he was 9-5-4 with a 2.63 GAA. He missed the Bruins' final 41 games with a sprained ankle.
Stuart hasn't played for the Bruins this season after undergoing knee surgery. He had a goal and an assist last season in 17 games.