Just a few ideas I've got bouncing around in my head in a variety of settings. Unless otherwise noted, all ideas are M/F.
A human Biotic finds himself alone in a bar on the Citadel, will you join him?
(Preferred Asari, Quarian, or human characters here)
Darren had just finished a delivery to the NCR embassy on The Strip and was heading back to the Crimson Caravan's offices, when he's distracted by a lovely young lady looking for help.
A geomancer specialized wizard and his companion set up camp for the night after a successful delve into haunted ruins. In the light of the crackling flames, the young wizard and his companion come together.