Rangers lost their Women's Champions League first-round play-off against Atletico Madrid at Meadow Park in London.
Both sides were playing for third place in their section after losing Wednesday's semi-finals, Rangers to Arsenal and Atletico to Rosenborg.
The Spanish side moved into the lead through Synne Jensen three minutes before half-time.
Sheila Guijarro doubled that advantage midway through the second half and Vilde Boe Risa added a third.
Jo Potter's Rangers, who were SWPL runners-up last season, return to league action at home to Spartans on 15 September.
Reaction
Head coach Jo Potter told Rangers TV: "You look at the whole performance and we're probably pleased with it but it was 3-0 so we're not pleased with it.
"We've shown we can compete against a really strong Atletico team but we've also got to remember this at the back end of the season as well, remember how it felt in these games.
"It'll be important for us in the long run because it just makes you hungry to want to get here again and produce performances and results that better this."