Toyota came up with TSB EG029-07 for '06 & '07 Avalons whose VINs were in a given range.
I've read about the 2-3 flare issue in the later model Camry's here and it sounds a bit different than the problem the latter model Avalon's have - similar, but different.
My '06 Avalon would shift too soon coming off a start and "wind up" when trying to accelerate from speed. At times I thought I was being slung from a canon.
I found the fix at a Toyota tech site that you pay a $10 subscription to for one day's use and downloaded all TSBs for that car along with the entire FSM(factory service manual) set. Stored it on my PCs hard-drive
Hard copies in my case are a little over $350.00 so I did pretty good for $10.
Here's a pointer to the tech site. It may list TSBs that are not listed at this forum. Can't say for sure.
http://techinfo.toyota.com