Kim Kardashian -- Didn't Snub ALS Wives, I Was Bombarded For Pics in Dressing Room!

Kim Kardashian is calling BS on a story told by the wives of the 2 men who inspired the ALS Ice Bucket Challenge -- claiming she was being uncaring and snobby.

Eyewitnesses who were with Kim tell TMZ ... Kim insists the incident, which one of the women chronicled on Facebook, did not go down the way they said.

The women claim they saw Kim and Kris Jenner in Celine -- a fancy schmancy women's store -- and asked for a pic with Kim, after explaining who they were. They say when they told Kris their husbands had ALS, Kris fliply responded, "Oh fun," and Kim and Kris blew the women off by refusing a photo.

But we're told a group of women hounded Kim and some even knocked on her dressing room while she was naked. Sources say when Kim came out Kris was talking to a couple of ladies and they told her they were in Cannes and were having a great time shopping and going to parties, and that's when Kris replied, "Oh fun."

As for denying a pic, the eyewitnesses claim neither of the women asked Kim for a photo when she walked out of the dressing room. She simply exited and smiled for all the cameras pointed in her direction.

Our sources say, Kim and her mom obviously support the cause ... as you know Kim famously did the challenge on TV, and if Kim knew the women were even there, she would have loved to sit down with them and talk about how she could help.