So Rey is actually captured by Kylo Ren after the First Order's superweapon destroys Maz Kanata's castle (probably before any lightsaber duels take place). In another parallel to A New Hope, the bad guys attempt to probe her mind to obtain information -- although it sounds like Kylo uses the Darkside to do this instead of a floating orb with a syringe. Once he's inside her head, Rey is able to turn the tables and read him as well. This is where she discovers he aspires to become more powerful than Darth Vader. He discovers from her mind that he doesn't actually need Anakin's lightsaber to achieve his goals (whatever they may be) and that there is another way.

Later, Rey manages to escape through the base's ventilation shaft (sound familiar?). She then runs into Finn, Han and Chewie and seems touched they would have come to save her, but the article speculates this might just be a comedic coincidence and they actually arrived at the base on a different mission.