At our office we often combine CoolSculpting and Endermologie. Most patients have tenderness and sensitivity immediately following their CoolSculpting treatment. This tenderness usually lasts a few days to a couple of weeks. You can start the endermologie as soon as you'd like, but it is probably best to wait about 2 weeks for your own comfort. We've seen that combining these two treatments can help with optimal results. Also, make sure you are doing the full recommended treatment plan for CoolSculpting and endermologie for best results.
After the CoolSculpting procedure, you will likely be swollen and certainly a little sensitive. I would wait until the swelling, any bruising, and sensitivity have resolved before proceeding with other treatments in the area. Probably 2 weeks or so.