Is she trying to reconcile?

This Capricorn and I were once really close friends...and something. We flirted on and off but never srs. Most of all, we were good friends. We had a huge argument and stopped talking. Today i'm leaving work and she randomly makes a comment from behind me, saying i'm late...then starts a conversation (i mean you guys have alot of courage) almost like we were still friends, and then she starts talking about how its been a long time, we were so close, we had that argument "but i guess you have your reasons".
Me being me, feeling cautious, did not comment and quickly changed the subject asking how long the meeting had started.

What is she doing (other than making things awkward)? Trying to be friends again?

After our argument she started coming around my ex who i'm really good friends with, bringing them breakfast and getting them gifts. She'd pass me in the hallway looking in another direction. I'd never seen anything more odd. Funny thing is, they don't even talk anymore. Not since my ex transferred.

Whether that had anything to do with me or not. Actions like that makes me not take her seriously

Caps are pretty serious people, so if she came up to you then she was wanting to squash whatever it was that caused a rift between you two, or atleast be woman enough to bring it out into the open. I domt know if she's wanting to start that friendship again, but.you were important enough to her to start the conversation.

As far as giving gifts amd communicating with your ex and friends...we're they friends with her as well?.. you may also want to find out if they weren't reaching out to her. Some of my exes friends, and their exes and I still stay in touch. Just bcuz I'm not with my ex anymore doesn't mean I have to dump the good friends I've made during our time together.

With the not looking at you when in passing...she probably didn't have respect for you, or didn't want anything to do with you at the time, wasn't ready to communicate just yet. Being cold.