Glasgow City and Bristol Academy have avoided holders Wolfsburg in the quarter-final draw for the Women's Champions League.
But, should the Scots win their last-eight tie with Paris St-Germain, they would face the Germans or Swedish side Rosengard in the semi-finals.
Bristol Academy were paired with another German side, Frankfurt, in Wednesday's unseeded draw in Nyon.
The winners will face another Swedish side, Linkopings, or Denmark's Brondby.
It is the first time Glasgow, Bristol and PSG have reached the last eight of the tournament, while Frankfurt have won it three times, in 2002, 2006 and 2008.
|Glasgow City head coach Eddie Wolecki Black|
|"There is no doubt we are massive underdogs in the tie, but as PSG proved in the last round, sometimes underdogs can win."|
However, the French side defeated compatriots Olympique Lyonnais, who have reached the final four times in the last five years and won it twice, in the last 16.
City head coach Eddie Wolecki Black, whose side have just completed a third domestic treble in a row, said: "There was never going to be an easy game in the quarter-finals of the Champions League.
"What I can say is that it is good for travel, we will get plenty information on them and what an exciting game for any player to have at any stage of their career.
"There is no doubt we are massive underdogs in the tie, but as PSG proved in the last round, sometimes underdogs can win.
"It is a massive game for our club and also for our game and home city."
Bristol's possible semi-final opponents, Linkopings, reached the quarter-finals three years ago and knocked out Liverpool this season.
Wolfsburg retained the title last season by beating another Swedish side, Tyreso, 4-3 in the final.
Women's Champions League quarter-final draw:
FFC Frankfurt v Bristol Academy WFC
Vfl Wolfsburg v FC Rosengard
Glasgow City v Paris Saint-Germain FC
Linköpings FC v Brondby IF
Vfl Wolfsburg or FC Rosengard v Glasgow City or Paris Saint-Germain FC
FFC Frankfurt or Bristol Academy WFC v Linkopings FC or Brondby IF
The quarter-final matches will be played on 21/22 and 28/29 March. The two-legged semi-finals take place on 18/19 and 25/26 April, while the final is in Berlin on 14 May.