Sofia Purkhús scored the all-important goal on 59 minutes.
The team led by Raymond Sant will be in action once again on Saturday as they take on Glasgow City LFC. The Scottish side defeated hosts ŽFK Spartak 4-0 on Thursday.
MOSTA: Sharon Costantino, Rebecca Chircop, Ashlie Marie Jobst, Dorianne Theuma, Karen Lia, Yanika Fenech (56′ Melissa Galea), Natasha Pace, Oriana Bedingfield, Rachel Nolan, Anna Marie Vella, Emma Xuereb.