A couple of months ago a corner of my dining room area rug decided to curl up and stay that way.
How to fix curled rug corners.
With the towel still covering the carpeted area hold down the iron and press.
This should flatten the areas out.
Do not set the iron at too high a heat as this could leave burn marks on the new carpet.
Then take an iron and set it to a medium heat.
Not only did it look bad.
Take a wet towel and moisten the areas where the carpet is curling.
For an inexpensive rug try to work the curled corner in the opposite direction.