The Keeping Up with the Kardashians star - who is engaged to Kanye West, a close friend of the singer's husband Jay Z - and the Halo hitmaker sparked speculation they had enjoyed a girly bonding day when they were pictured leaving Dr. Howard Lancer's Beverly Hills clinic, but insiders say that couldn't be further from the truth.
During the chance encounter, Beyoncé - who has two-year-old daughter Blue Ivy with her husband - asked Kim how her 10-month-old daughter North is doing, but didn't seem too interested in her response.
According to the source, Kim said: "It's so good to be a mom and North is great and I love being with her. She's just amazing."
However, the insider added to RadarOnline.com: "Beyoncé looked like she couldn't have cared less. It seemed so clear that she did not want to talk with Kim and was just being polite to her. They really didn't look at all like friends."
It seems Beyoncé's frostiness wasn't reciprocated, as Kim seemed "excited" when she arrived at the clinic and spotted the superstar.
The source said: "When Kim arrived, she seemed so excited to see Beyoncé and was really eagerly going over to her.
"But Beyoncé looked like she wanted nothing to do with Kim and was really trying to stay away from her. Kim was basically fawning all over her!"