Marco Reus led a rampant Borussia Dortmund into the UEFA Europa League group stage with a comprehensive 7-2 victory over Odd on Friday (AEST).

The Germany international struck a hat-trick for Thomas Tuchel's men as they raced through the playoff round with an 11-5 aggregate triumph over the Norwegian side.

Having opened up a 3-0 lead in last week's first leg, only to lose 4-3, Odd again momentarily stunned its illustrious opponent as Ole Halvorsen leveled the tie with the game's opening goal, but it only served to stir Dortmund — which was ahead 4-1 by halftime.

Henrikh Mkhitaryan's eighth goal of the season got BVB level, before two from Reus and a fourth from Shinji Kagawa put Dortmund in complete control.

The goals continued to come after the restart as Ilkay Gundogan opened his account for the season, before Reus was on hand to score his third after 57 minutes.

Oliver Berg grabbed a consolation for Odd just after the hour, but it was Dortmund celebrating at the final whistle — after Kagawa had scored again — as the German side booked its place in Saturday's group-stage draw.

Dortmund fans may have worried as the host's early attempts to put the tie out of Odd's reach found goalkeeper Sondre Rossbach in fine form, and those heroics were subsequently rewarded as the unmarked Halvorsen stooped low to head Thomas Grogaard's corner past Roman Weidenfeller.

But Dortmund was behind on the night for just six minutes as Mkhitaryan leveled with a stunning 20-yard strike across Rossbach, having cut in from the left flank.

The relentless pace from Dortmund continued and a minute later it was ahead, Gundogan slipping away from two men before finding Reus, who swept the ball home.

As Dortmund kicked into top gear, Reus was again on hand to convert from close range, after a perfect cross from Mkhitaryan.

Kagawa added a fourth as the Odd defence struggled to live with Dortmund's slick passing and if Odd thought the break might slow Dortmund down, it was wrong. 

Just five minutes after the restart, Gundogan's powerful drive was too hot to handle for Rossbach, who could only parry the 20-yard effort into the net. 

Reus ghosted in at the back post to complete his hat-trick on the end of another inviting cross from the industrious Mkhitaryan, but the visitor gave itself something to cheer as Berg grabbed the fifth goal of the tie after a neat layoff from Halvorsen.

But a defensive error allowed substitute Pierre-Emerick Aubameyang to give Kagawa a tap-in to bring up a madcap final score, which could have even been added to before the full-time whistle, had Mats Hummels's header dipped under the crossbar rather than flick the top of it.