Sceviour even scored a power-play goal in the first period.
“Obviously, (Monday) night was a scary situation but today is a new day,” said Stars captain Jamie Benn, who scored the overtime winning goal. “We were thinking about Rich back home, but I thought we did a great job getting mentally ready for this game.
“We’re still in a big playoff push and we found a way to get two points.”
AP Sports Writer Schuyler Dixon in Dallas contributed to this report.