Van Riemsdyk had a goal and an assist, Lucas Raymond had three assists, and Emmitt Finnie also scored for the Red Wings (22-13-3), who have won three in a row and eight of 10 (8-2-0).
John Gibson made 19 saves to extend his winning streak to a career-best eight games. It is the longest streak by a Red Wings goalie since Chris Osgood also won eight straight in 2007-08.
Wyatt Johnston, Roope Hintz and Jamie Benn scored, and Mikko Rantanen had two assists for the Stars (25-7-6), who had won four in a row and eight of 10.
“I thought it was a great hockey game,” Dallas coach Glen Gulutzan said. “It was fast, it had great goaltending, special-teams goals, and I thought it was physical. I like the way we played, so I’m not going to judge our team on losing a point.”
DeSmith made 21 saves and set a franchise record by extending his point streak to 13 games (9-0-4). Don Beaupre had a 12-game streak (9-0 with three ties) for the Minnesota North Stars in the 1982-83 season.
“We deserved a point and they deserved a point,” Gulutzan said. “Three-on-three, anything can happen.”
Van Riemsdyk gave Detroit a 1-0 lead at 9:23 of the first period when he took a pass from Michael Rasmussen at the edge of the crease and flipped a shot over DeSmith’s shoulder.
Hintz’s power-play goal tied it 1-1 at 10:47 of the second period. After a quick pass across the crease from Jason Robertson, Rantanen got the puck to Hintz in the right face-off circle, and he put a wrist shot over Gibson’s blocker.
Benn gave Dallas a 2-1 lead at 19:16, taking a pass from Matt Duchene on a 2-on-1 break and beating Gibson into the open side of the net.
“We weren’t really moving in the first and they came out with a good pace,” Stars forward Mavrik Bourque said. “We played a good second and a good third, but you have to play 60 good minutes in this league.”
Finnie’s power-play goal tied it 2-2 at 3:02 of the third. DeSmith stopped Raymond’s shot and Finnie’s first attempt off the rebound, but he regained the puck and put a wrist shot into the top of the net.
“I’ve talked about him a lot and I could talk about him all night,” Larkin said of his rookie linemate. “If I can go to the Olympics and play on the wing, I would probably try to play like Emmitt Finnie. I’d be a good supporting player who digs out pucks, gets them to guys and goes to the hard areas.”