HB Tórshavn 1-3 FK Partizan (agg: 1-6)
The Serbian champions were down at the break but turned up the heat to earn a meeting with PFC Ludogorets Razgrad.
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PFC Ludogorets Razgrad are next up for FK Partizan after goals from Nikola Ninković, Danko Lazović and Petar Grbić completed their UEFA Champions League victory against HB Tórshavn.
Already 3-0 up from the second qualifying round opener in Belgrade, Partizan were briefly behind on the night, 17-year-old Bartal Wardum getting his head to a sublime Pál Joensen cross on 35 minutes. However, order was restored early in the second half, midfielder Ninković finishing at the back post from Lazović's low delivery.
A defence-splitting pass from Darko Brašanac then laid on Lazović to round HB goalkeeper Teitur Gestson and fire into the empty net on 75 minutes, and the aggregate score was 6-1 by the final whistle, Grbić playing a one-two with Saša Ilić before beating Gestson at his near post.
Partizan visit the Bulgarian champions next week in the first leg of their third qualifying round tie.