Stephen Weiss' shot from in front was blocked, but Versteeg found the loose puck and swept it in from the left side of the crease for his team-leading 16th goal of the season.
Sean Bergenheim and Jason Garrison also scored for Florida, and Jose Theodore made 24 saves. The Panthers have earned at least one point in eight straight home games.
Tim Gleason and Chad LaRose had goals for the Hurricanes, who got 23 saves from Cam Ward. Carolina has lost 10 of 12.
In Chicago, Marian Hossa had a goal and an assist, and Chicago's Joel Quenneville became the 10th coach to earn 600 NHL victories as the Blackhawks beat Calgary for their fifth straight win.
Steve Montador, Niklas Hjalmarsson and Patrick Kane also scored for the Blackhawks, who got 22 saves from Ray Emery.
Chicago vaulted past Minnesota into first place in the NHL standings with a league-leading 46 points. The Blackhawks are 7-0-1 in their last eight games.
Calgary's Olli Jokinen and Curtis Glencross scored power-play goals in the third period, and both had an assist. Miikka Kiprusoff made 21 saves.
Emery, who has taken over for struggling No. 1 goalie Corey Crawford, started and won for the fifth straight game while improving to 9-1-2 overall. He has played in seven straight, including six starts.
Blackhawks defenseman Brent Seabrook sustained an undisclosed upper body injury late in the first period and didn't return.
The Flames finished a four-game road trip at 0-2-2. The Blackhawks have won eight straight at home against Calgary, dating to a loss in March 2008.
In St. Louis, Jason Arnott triggered a four-goal, third-period rally with the tiebreaking tally to lead St. Louis over Columbus.
St. Louis won for the fifth time in six games and improved to 13-3-1 at home, tying Detroit for the most home wins. The Blues are 13-2-4 under coach Ken Hitchcock, who took over for the fired Davis Payne on Nov. 6.
The Blues moved into third place in the Western Conference with 42 points after being 14th in the 15-team group on Nov. 7. St. Louis has won its last five against Columbus and improved to 12-1-1 in the previous 14 home meetings with the Blue Jackets.
Alex Steen, Alex Pietrangelo and Patrik Berglund also scored in the third period for St. Louis, which trailed 3-2 after two. T.J. Oshie and Kevin Shattenkirk added goals for the Blues, who have won nine of 11 in St. Louis. Jaroslav Halak (6-7-4) made 28 saves.
Derek Dorsett and Derek MacKenzie also scored for Columbus, and Fedor Tyutin had three assists, but the Blue Jackets lost for the fifth time in six games.
