Detroit qualified by earning a point while Boston lost to Florida.
Jimmy Howard made 30 saves for Detroit, which was outshot 28-16 over the final two periods.
The Detroit City Council got an earful Tuesday about a revised plan for a new Red Wings hockey arena and sports complex in the Midtown area.
Trotman’s wrist shot got between Petr Mrazek’s glove and jersey and trickled past the goal line.
Hockey players are some of the toughest guys in professional sports.
Petr Mrazek stopped 33 shots for Detroit, which got a regulation and shootout goal from Gustav Nyquist. Tomas Tatar also scored in the shootout.
Tatar opening the scoring 39 seconds into the game before Miller followed with another goal for the visitors at 1:46 to stun the Nassau Coliseum crowd.
Jimmy Howard made seven saves, but allowed three goals in the first before being pulled for backup Petr Mrazek.
Plans for a residential and entertainment district featuring a new Detroit Red Wings arena include about 20 percent affordable housing units.
The Red Wings have lost seven of 10 and are clinging to third place in the Atlantic Division.