Ribeiro was the final shooter and he skated in on net and made the move to the forehand before roofing the puck past Mike Smith for the win.
After a too many men on the ice call to Dallas, Phoenix won a faceoff at the right circle and went to work. From the left point, Doan blasted a shot on net that Hanzal got a piece of. Lehtonen was able to make the save, but it came to the front and Vrbata had the easy slam for the first goal of the game at the 5:55 mark of the third.
Dallas had three power play chances after the goal, but were unable to capitalize on any of them.
However, with Lehtonen pulled and time winding down, Sheldon Souray blasted a shot on net from the left point that Eriksson tipped past Smith to tie the game with 27.1 seconds left in regulation.
Lehtonen stopped 25 saves over the first two periods while Smith made 17 stops.
Phoenix plays at Nashville on Thursday...Dallas hosts St. Louis on Thursday...The Coyotes have won four of six against Dallas in each of the past three seasons...Phoenix was 1-for-7 on the power play while Dallas was 0- for-7.