One problem related to side/rear glass has been reported for the 2007 Toyota Corolla. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2007 Toyota Corolla based on all problems reported for the 2007 Corolla.
I bought this 2007 Corolla le in July 2008. Soon we found that when the car reached the speed of 70 mph or over, there was some high-pitched noise coming from the front window. Since this happened a lot, we brought our car to the dealer in early 2008. The dealer replaced the windshield seal. The noise stopped for some time. Then now it comes back again if we drive it around 75 mph or over. I did some google search. I found quite a few other people with the same model/year has the same problem. Also I have been told by my dealer (billpage, falls church, va) that they were aware of this problem since several clients reported it and brought their cars to the dealer.