Häcken will face Olivia Schoug's Inter and Hammarby will meet Ajax in a double meeting.
The round of 16 will be played on November 11 and 12 with return matches the following week.
The two Swedish teams qualified for the playoffs in the new European women's football cup by beating Katowice (Häcken) and Brann (Hammarby) in double meetings in the second qualifying round.
