Japan midfielder Shinji Kagawa scored twice and Marco Reus hit a hat trick as Borussia Dortmund hammered Norway's Odd Grenland 7-2 to qualify for the Europa League with an 11-5 aggregate win on Thursday night.

Ole Jorgen Halvorsen headed Odds in front against the run of play to level the match, after a 4-3 defeat in the first leg, but goals from Henrikh Mkhitaryan and Marco Reus gave the hosts a deserved lead before long.

Reus made it 3-1 on 31 minutes before Kagawa, on target in the first leg and last weekend in the Bundelsiga, got onto the end of Matthias Ginter's cross from the right to drill home shortly before halftime.

Ilkay Gundogan got in on the act six minutes into the second half, before Reus completed his hat trick in the 57th minute at the end of another free-flowing attack.

Oliver Berg pulled a goal back for the visitors but Kagawa had the last word, sweeping onto substitute Pierre-Emerick Aubameyang's pass after a defensive howler from Ardian Gashi.

Elsewhere, Takumi Minamino scored Salzburg's opener in a 2-0 win over Dinamo Minsk, but the Austrians were eliminated as Minsk won 3-2 on penalties after the match finished 2-2 on aggregate.

Maya Yoshida put in a full shift, but Southampton lost 1-0 away to Danish club Midtjylland and was knocked out 2-1 on aggregate.

Yuya Kubo's Young Boys and Atomu Tanaka's HJK Helsiniki were also eliminated.

The draw for the group stage takes place on Friday.