GLENDALE, Ariz. -- Ahead two goals heading into the third period, the St. Louis Blues had Thursday night's game against Phoenix in the bag, right?

That's probably what fans thought Tuesday night when they were dozing off in the final period with the same exact score vs. Los Angeles. The Blues dozed off, too, and wound up losing by two goals.

On Thursday in the desert, two days after learning a stinging lesson, the Blues stayed the course and even turned it up a level in a 6-3 victory over Phoenix at Jobing.com Arena.

"We talked about that ... we needed guys to step up," Blues forward David Perron said. "We can all say the right things and say the right words, but at one point we have got to do it."

The Blues ended a two-game losing streak, picking up their first victory on a season-long five-game trip, which continues with back-to-back games against San Jose and Anaheim over the weekend.

Perron and his new linemates were the table-setters for the Blues' put-up-or-shut-up attitude Thursday.

Patrik Berglund scored two goals, Chris Stewart netted one goal and three assists and Perron added three assists for a nine-point night for the line. The trio has been together for just four games, and ?has combined for 14 points in the last two.

"They're playing really well," Blues coach Ken Hitchcock said. "They've really got some chemistry going. Hopefully they can keep it up."

Meanwhile, upon returning from Peoria to help stabilize the goaltending position, Jake Allen made 23 saves to pick up his fourth win in five starts this season.

Allen made a couple of terrific saves early in the third period when the Blues, tempting fate, held the same 4-2 lead going into the third period that ?they had against Los Angeles in similar circumstances earlier this week?.

But after allowing the Kings four third-period goals Tuesday, the Blues got the first two goals of the final frame against the Coyotes on Thursday, building a 6-2 lead. Keith Yandle added a late power-play goal for the final score.

"We came out in the third and played a solid 20 minutes," Berglund said. "We obviously learned from it and we were saying in the locker room to keep playing. We even got another goal and another goal. We were strong."

The night got started by Stewart, who netted his ninth of the season to open the scoring. He banged in a rebound after a shot by Alex Pietrangelo. The goal gave the Blues a 1-0 lead with 6 minutes, 53 seconds left in the first period.

The lead looked safe going into the first intermission when the Blues went on the power play with 2:49 to play in the period. But Pietrangelo had trouble with a pass from Perron on the man-advantage, and David Moss, on a breakaway, made the Blues pay with a shorthanded goal.

Allen appeared to make the stop, but the puck trickled past him for a 1-1 score with 1:06 remaining in the frame.

"I had it all the way, too," Allen said. "I knew he was going glove. I moved my body and everything into it. I have no sweet clue how it went through me, to be honest. I didn't even see it go in the net, and I saw on the replay it barely went over the goal-line. It had eyes I guess. ... You move on."

But another Blues' turnover at the start of the second period gave Phoenix the lead.

Behind his own net, Blues defenseman Barret Jackman flipped the puck up the middle, and -- perhaps surprised a bit -- David Backes was strong-armed by a Phoenix player for the puck. It floated to captain Shane Doan, who buried it for a 2-1 Coyotes' lead.

Two turnovers, two goals. Here we go again, fans must have figured. Instead, Berglund and the Blues got going.

Berglund put a shot on net and got his own rebound, pumping it past Phoenix goalie Mike Smith. His 10th goal of the year pulled the Blues into a 2-2 tie just 5:47 into the second period.

Berglund wasn't done and neither were his linemates. Eight minutes into the second period, a pass from Stewart to Perron to Berglund landed on Berglund's skate. He gather the puck, backed toward the net and backhanded his 11th past Smith for a 3-2 lead.

"Perry and Stewy, they're really hot," Berglund said. "I'm just tagging along."

The Blues tagged on another goal before the end of the period.

Scott Nichol registered his first point of the season ?midway through the second period. Nichol's first goal in 39 games gave the Blues a 4-2 lead after two periods -- the same lead they had against L.A. after 40 minutes.

The Blues had not scored a third-period goal in their past two games, but ?found two on Thursday.

Vladimir Sobotka, assisted by Stewart and Perron, scored his fourth of the season for a 5-2 lead. Pietrangelo netted his fifth of the year for a 6-2 advantage.

"We were opportunistic offensively," Hitchcock said. "I thought on the third goal, we really started to dial it up on the checking side of things. It's a good feeling. We still have a ways to go, but it's a good feeling to get in and get rewarded for the work we've been putting in."

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