The match was really even in the first period, but when Luleå's goalkeeper Sara Grahn nailed it again, a puck slipped past Alba Gonzalo in HV's goal, passed there by Petra Nieminen.
The second period was also even in terms of play, but Lulleå was most skilled at using when HV71's defense lost concentration for a moment.
Linn Peterson's 2-0 goal came after a 3-1 situation where Luleå made a quick turnaround.
Gonzalo saved the first shot but could not take the return.
Luleå's 3-0 came after a long pass from their own goal from Petra Nieminen who freed Johanna Fällman at offensive blue.
Fällman made no mistake.
Grahn immutable
HV tried and tried but Sara Grahn in Luleåkassen was completely indomitable.
This, in combination with blur, meant that HV71 did not manage to get a puck there until it was too late.
Danielle Stone reduced to 1-4 with just under five minutes left in the game
The second match in the double meeting Luleå-HV71 is broadcast on Sunday from 13.55 in svtplay and 14.15 on SVT1.
KLIPP: New national team captain: "Clubs must make an effort to choose Swedes" (September 26, 2020)
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New national team captain Ulf Lundberg got to comment on the many foreign players in the SDHL.
To the right, two of SDHL's foreign stars, Lara Stalder (Brynäs) and Michelle Karvinen (Luleå).
Photo: SVT / Bildbyrån