The pair have exchanged harsh words throughout their time on the reality show, with Armstrong most recently criticising Glanville's book deal.
In a new interview with Us Weekly, Armstrong hinted that The Reality Housewives of Beverly Hills features her and Glanville repairing their relationship.
"Brandi and I are just getting to know one another. Our relationship absolutely ebbs and flows over the season," Armstrong explained. "There's definitely a future there for us to work through some things."
She added of Glanville's book Drinking & Tweeting: And Other Brandi Blunders: "I wish her all the success... I didn't live her life, either, so I'll look forward to hearing her story and maybe we'll understand one another better."
Glanville is currently recovering from surgery to remove a tumour from her breast. She has assured her fans that she is feeling well.
The Real Housewives of Beverly Hills airs on Mondays at 9/8c on Bravo.